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Simplifying 99 = -3(g + -4) + 12(g + -1) Reorder the terms: 99 = -3(-4 + g) + 12(g + -1) 99 = (-4 * -3 + g * -3) + 12(g + -1) 99 = (12 + -3g) + 12(g + -1) Reorder the terms: 99 = 12 + -3g + 12(-1 + g) 99 = 12 + -3g + (-1 * 12 + g * 12) 99 = 12 + -3g + (-12 + 12g) Reorder the terms: 99 = 12 + -12 + -3g + 12g Combine like terms: 12 + -12 = 0 99 = 0 + -3g + 12g 99 = -3g + 12g Combine like terms: -3g + 12g = 9g 99 = 9g Solving 99 = 9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9g' to each side of the equation. 99 + -9g = 9g + -9g Combine like terms: 9g + -9g = 0 99 + -9g = 0 Add '-99' to each side of the equation. 99 + -99 + -9g = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -9g = 0 + -99 -9g = 0 + -99 Combine like terms: 0 + -99 = -99 -9g = -99 Divide each side by '-9'. g = 11 Simplifying g = 11
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