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Simplifying -5(4m + 6) = -3(4m + -2) Reorder the terms: -5(6 + 4m) = -3(4m + -2) (6 * -5 + 4m * -5) = -3(4m + -2) (-30 + -20m) = -3(4m + -2) Reorder the terms: -30 + -20m = -3(-2 + 4m) -30 + -20m = (-2 * -3 + 4m * -3) -30 + -20m = (6 + -12m) Solving -30 + -20m = 6 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -30 + -20m + 12m = 6 + -12m + 12m Combine like terms: -20m + 12m = -8m -30 + -8m = 6 + -12m + 12m Combine like terms: -12m + 12m = 0 -30 + -8m = 6 + 0 -30 + -8m = 6 Add '30' to each side of the equation. -30 + 30 + -8m = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -8m = 6 + 30 -8m = 6 + 30 Combine like terms: 6 + 30 = 36 -8m = 36 Divide each side by '-8'. m = -4.5 Simplifying m = -4.5
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