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Simplifying -4(m + 5) + 2(6m + -9) = 7m + -2 Reorder the terms: -4(5 + m) + 2(6m + -9) = 7m + -2 (5 * -4 + m * -4) + 2(6m + -9) = 7m + -2 (-20 + -4m) + 2(6m + -9) = 7m + -2 Reorder the terms: -20 + -4m + 2(-9 + 6m) = 7m + -2 -20 + -4m + (-9 * 2 + 6m * 2) = 7m + -2 -20 + -4m + (-18 + 12m) = 7m + -2 Reorder the terms: -20 + -18 + -4m + 12m = 7m + -2 Combine like terms: -20 + -18 = -38 -38 + -4m + 12m = 7m + -2 Combine like terms: -4m + 12m = 8m -38 + 8m = 7m + -2 Reorder the terms: -38 + 8m = -2 + 7m Solving -38 + 8m = -2 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -38 + 8m + -7m = -2 + 7m + -7m Combine like terms: 8m + -7m = 1m -38 + 1m = -2 + 7m + -7m Combine like terms: 7m + -7m = 0 -38 + 1m = -2 + 0 -38 + 1m = -2 Add '38' to each side of the equation. -38 + 38 + 1m = -2 + 38 Combine like terms: -38 + 38 = 0 0 + 1m = -2 + 38 1m = -2 + 38 Combine like terms: -2 + 38 = 36 1m = 36 Divide each side by '1'. m = 36 Simplifying m = 36
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