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Simplifying 3(g + 2) + -4(h + -10) = 42 Reorder the terms: 3(2 + g) + -4(h + -10) = 42 (2 * 3 + g * 3) + -4(h + -10) = 42 (6 + 3g) + -4(h + -10) = 42 Reorder the terms: 6 + 3g + -4(-10 + h) = 42 6 + 3g + (-10 * -4 + h * -4) = 42 6 + 3g + (40 + -4h) = 42 Reorder the terms: 6 + 40 + 3g + -4h = 42 Combine like terms: 6 + 40 = 46 46 + 3g + -4h = 42 Solving 46 + 3g + -4h = 42 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + 3g + -46 + -4h = 42 + -46 Reorder the terms: 46 + -46 + 3g + -4h = 42 + -46 Combine like terms: 46 + -46 = 0 0 + 3g + -4h = 42 + -46 3g + -4h = 42 + -46 Combine like terms: 42 + -46 = -4 3g + -4h = -4 Add '4h' to each side of the equation. 3g + -4h + 4h = -4 + 4h Combine like terms: -4h + 4h = 0 3g + 0 = -4 + 4h 3g = -4 + 4h Divide each side by '3'. g = -1.333333333 + 1.333333333h Simplifying g = -1.333333333 + 1.333333333h
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