Question
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Answer
\( g = \frac{s - 3z}{3} \)
Solution
Solve the equation \( s=3g+3z \).
Solve the equation by following steps:
- step0: Solve for \(g\):
\(s=3g+3z\)
- step1: Swap the sides:
\(3g+3z=s\)
- step2: Move the expression to the right side:
\(3g=s-3z\)
- step3: Divide both sides:
\(\frac{3g}{3}=\frac{s-3z}{3}\)
- step4: Divide the numbers:
\(g=\frac{s-3z}{3}\)
The solution to the equation \( s=3g+3z \) for \( g \) is \( g=\frac{s-3z}{3} \).
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Simplify this solution Bonus Knowledge
To isolate \( g \) in the equation \( s = 3g + 3z \), you’ll first want to get \( g \) on one side. Start by subtracting \( 3z \) from both sides: \[ s - 3z = 3g. \] Next, divide everything by 3 to solve for \( g \): \[ g = \frac{s - 3z}{3}. \] And there you have it! \( g \) is isolated. It's straightforward algebra, and once you get the hang of it, you'll be solving for variables in no time!
