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Simplifying -2(m + -9) = 3m + -7 Reorder the terms: -2(-9 + m) = 3m + -7 (-9 * -2 + m * -2) = 3m + -7 (18 + -2m) = 3m + -7 Reorder the terms: 18 + -2m = -7 + 3m Solving 18 + -2m = -7 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 18 + -2m + -3m = -7 + 3m + -3m Combine like terms: -2m + -3m = -5m 18 + -5m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 18 + -5m = -7 + 0 18 + -5m = -7 Add '-18' to each side of the equation. 18 + -18 + -5m = -7 + -18 Combine like terms: 18 + -18 = 0 0 + -5m = -7 + -18 -5m = -7 + -18 Combine like terms: -7 + -18 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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