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Simplifying 18(6m + 7) = -9(8m + 6) Reorder the terms: 18(7 + 6m) = -9(8m + 6) (7 * 18 + 6m * 18) = -9(8m + 6) (126 + 108m) = -9(8m + 6) Reorder the terms: 126 + 108m = -9(6 + 8m) 126 + 108m = (6 * -9 + 8m * -9) 126 + 108m = (-54 + -72m) Solving 126 + 108m = -54 + -72m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '72m' to each side of the equation. 126 + 108m + 72m = -54 + -72m + 72m Combine like terms: 108m + 72m = 180m 126 + 180m = -54 + -72m + 72m Combine like terms: -72m + 72m = 0 126 + 180m = -54 + 0 126 + 180m = -54 Add '-126' to each side of the equation. 126 + -126 + 180m = -54 + -126 Combine like terms: 126 + -126 = 0 0 + 180m = -54 + -126 180m = -54 + -126 Combine like terms: -54 + -126 = -180 180m = -180 Divide each side by '180'. m = -1 Simplifying m = -1
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