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Simplifying 3(g + -13) + 2(g + -7) = 7 Reorder the terms: 3(-13 + g) + 2(g + -7) = 7 (-13 * 3 + g * 3) + 2(g + -7) = 7 (-39 + 3g) + 2(g + -7) = 7 Reorder the terms: -39 + 3g + 2(-7 + g) = 7 -39 + 3g + (-7 * 2 + g * 2) = 7 -39 + 3g + (-14 + 2g) = 7 Reorder the terms: -39 + -14 + 3g + 2g = 7 Combine like terms: -39 + -14 = -53 -53 + 3g + 2g = 7 Combine like terms: 3g + 2g = 5g -53 + 5g = 7 Solving -53 + 5g = 7 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 5g = 7 + 53 Combine like terms: -53 + 53 = 0 0 + 5g = 7 + 53 5g = 7 + 53 Combine like terms: 7 + 53 = 60 5g = 60 Divide each side by '5'. g = 12 Simplifying g = 12
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