9g + 2 = 20

Understand the Problem

The question is asking to solve the equation 9g + 2 = 20 for the variable g. This requires isolating the variable on one side of the equation.

Answer

$g = 2$
Answer for screen readers

The value of $g$ is 2.

Steps to Solve

  1. Subtract 2 from both sides

To isolate the term with $g$, first subtract 2 from both sides of the equation: $$ 9g + 2 - 2 = 20 - 2 $$ This simplifies to: $$ 9g = 18 $$

  1. Divide both sides by 9

Next, divide both sides of the equation by 9 to solve for $g$: $$ \frac{9g}{9} = \frac{18}{9} $$ This simplifies to: $$ g = 2 $$

The value of $g$ is 2.

More Information

This problem involves solving a linear equation, which is a fundamental skill in algebra. Isolating the variable allows us to find its value clearly.

Tips

  • Forgetting to perform the same operation on both sides of the equation can lead to incorrect answers, so always ensure symmetry in your operations.
  • Miscalculating when dividing or multiplying can also result in mistakes; take your time to double-check your work.

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