Pregunta
Solve for \( w \). \[ 15=3 w+6(w-8) \] Simplify your answer as much as possible. \( w=\prod \)
Ask by Pope Riley. in the United States
Feb 20,2025
Solución de inteligencia artificial de Upstudy
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\( w=7 \)
Solución
Solve the equation \( 15=3w+6(w-8) \).
Solve the equation by following steps:
- step0: Solve for \(w\):
\(15=3w+6\left(w-8\right)\)
- step1: Swap the sides:
\(3w+6\left(w-8\right)=15\)
- step2: Move the expression to the left side:
\(3w+6\left(w-8\right)-15=0\)
- step3: Calculate:
\(9w-63=0\)
- step4: Move the constant to the right side:
\(9w=0+63\)
- step5: Remove 0:
\(9w=63\)
- step6: Divide both sides:
\(\frac{9w}{9}=\frac{63}{9}\)
- step7: Divide the numbers:
\(w=7\)
The solution to the equation \(15=3w+6(w-8)\) is \(w=7\).
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Simplifique esta solución The Deep Dive
To solve for \( w \) in the equation \( 15 = 3w + 6(w - 8) \), we first distribute the 6 in the second term: \[ 15 = 3w + 6w - 48 \] Now, combine like terms: \[ 15 = 9w - 48 \] Next, add 48 to both sides: \[ 15 + 48 = 9w \] This simplifies to: \[ 63 = 9w \] Now, divide both sides by 9 to isolate \( w \): \[ w = \frac{63}{9} \] Simplifying this fraction gives: \[ w = 7 \] Thus, the solution is: \[ w = 7 \]
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