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Simplifying 3(g + -8) + 6(g + -12) = 12 Reorder the terms: 3(-8 + g) + 6(g + -12) = 12 (-8 * 3 + g * 3) + 6(g + -12) = 12 (-24 + 3g) + 6(g + -12) = 12 Reorder the terms: -24 + 3g + 6(-12 + g) = 12 -24 + 3g + (-12 * 6 + g * 6) = 12 -24 + 3g + (-72 + 6g) = 12 Reorder the terms: -24 + -72 + 3g + 6g = 12 Combine like terms: -24 + -72 = -96 -96 + 3g + 6g = 12 Combine like terms: 3g + 6g = 9g -96 + 9g = 12 Solving -96 + 9g = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 9g = 12 + 96 Combine like terms: -96 + 96 = 0 0 + 9g = 12 + 96 9g = 12 + 96 Combine like terms: 12 + 96 = 108 9g = 108 Divide each side by '9'. g = 12 Simplifying g = 12
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