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Solve the equation. Check your answer.

32.61equals7gplus3.84

1 answer

To solve the equation \( 32.61 = 7g + 3.84 \), we can follow these steps:

  1. Subtract 3.84 from both sides: \[ 32.61 - 3.84 = 7g \] \[ 28.77 = 7g \]

  2. Divide both sides by 7: \[ g = \frac{28.77}{7} \] \[ g = 4.11 \]

Now that we have \( g = 4.11 \), let's check the solution by substituting \( g \) back into the original equation.

Check: \[ 7g + 3.84 = 32.61 \] Substituting \( g = 4.11 \): \[ 7(4.11) + 3.84 = 28.77 + 3.84 = 32.61 \]

Since both sides are equal, the solution is verified.

Thus, the final answer is: \[ g = 4.11 \]