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Simplifying -4(5m + 9) = -2(8m + 6) Reorder the terms: -4(9 + 5m) = -2(8m + 6) (9 * -4 + 5m * -4) = -2(8m + 6) (-36 + -20m) = -2(8m + 6) Reorder the terms: -36 + -20m = -2(6 + 8m) -36 + -20m = (6 * -2 + 8m * -2) -36 + -20m = (-12 + -16m) Solving -36 + -20m = -12 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. -36 + -20m + 16m = -12 + -16m + 16m Combine like terms: -20m + 16m = -4m -36 + -4m = -12 + -16m + 16m Combine like terms: -16m + 16m = 0 -36 + -4m = -12 + 0 -36 + -4m = -12 Add '36' to each side of the equation. -36 + 36 + -4m = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -4m = -12 + 36 -4m = -12 + 36 Combine like terms: -12 + 36 = 24 -4m = 24 Divide each side by '-4'. m = -6 Simplifying m = -6
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