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Simplifying g + g + -3 + (g + -3) + 7 + 2((g + -3) + 7) = 74 Reorder the terms: g + g + -3 + (-3 + g) + 7 + 2((g + -3) + 7) = 74 Remove parenthesis around (-3 + g) g + g + -3 + -3 + g + 7 + 2((g + -3) + 7) = 74 Reorder the terms: g + g + -3 + -3 + g + 7 + 2((-3 + g) + 7) = 74 Remove parenthesis around (-3 + g) g + g + -3 + -3 + g + 7 + 2(-3 + g + 7) = 74 Reorder the terms: g + g + -3 + -3 + g + 7 + 2(-3 + 7 + g) = 74 Combine like terms: -3 + 7 = 4 g + g + -3 + -3 + g + 7 + 2(4 + g) = 74 g + g + -3 + -3 + g + 7 + (4 * 2 + g * 2) = 74 g + g + -3 + -3 + g + 7 + (8 + 2g) = 74 Reorder the terms: -3 + -3 + 7 + 8 + g + g + g + 2g = 74 Combine like terms: -3 + -3 = -6 -6 + 7 + 8 + g + g + g + 2g = 74 Combine like terms: -6 + 7 = 1 1 + 8 + g + g + g + 2g = 74 Combine like terms: 1 + 8 = 9 9 + g + g + g + 2g = 74 Combine like terms: g + g = 2g 9 + 2g + g + 2g = 74 Combine like terms: 2g + g = 3g 9 + 3g + 2g = 74 Combine like terms: 3g + 2g = 5g 9 + 5g = 74 Solving 9 + 5g = 74 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5g = 74 + -9 Combine like terms: 9 + -9 = 0 0 + 5g = 74 + -9 5g = 74 + -9 Combine like terms: 74 + -9 = 65 5g = 65 Divide each side by '5'. g = 13 Simplifying g = 13
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