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\( \Rightarrow 16 - 2 t = 5 + 9 \)

Ask by Bolton Marshall. in the United Kingdom
Mar 18,2025

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Tutor-Verified Answer

Answer

\( t = 1 \)

Solution

Solve the equation \( 16 - 2t = 5 + 9 \). Solve the equation by following steps: - step0: Solve for \(t\): \(16-2t=5+9\) - step1: Add the numbers: \(16-2t=14\) - step2: Move the constant to the right side: \(-2t=14-16\) - step3: Subtract the numbers: \(-2t=-2\) - step4: Change the signs: \(2t=2\) - step5: Divide both sides: \(\frac{2t}{2}=\frac{2}{2}\) - step6: Divide the numbers: \(t=1\) The solution to the equation \(16 - 2t = 5 + 9\) is \(t = 1\).

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To solve the equation \( 16 - 2t = 5 + 9 \), we first simplify the right-hand side. \( 5 + 9 = 14 \), so the equation simplifies to \( 16 - 2t = 14 \). Now, subtract 16 from both sides: \( -2t = 14 - 16 \) \( -2t = -2 \) Next, divide both sides by -2: \( t = 1 \). So, the solution to the equation is \( t = 1 \). To verify your solution, you can plug \( t = 1 \) back into the original equation. The historical use of algebraic equations dates back to ancient civilizations such as the Babylonians, who used various forms of geometry and algebraic reasoning to solve problems related to land measurement and trade. Their approach laid the groundwork for modern algebra. In the real world, solving equations like this can help you in daily tasks, such as budgeting or cooking. For example, if you’re determining the number of ingredients needed for a recipe based on servings, being comfortable with equations can streamline the calculation process and lead to successful and tasty results!

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