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Simplifying -5(3m + 6) = (4m + -2) Reorder the terms: -5(6 + 3m) = (4m + -2) (6 * -5 + 3m * -5) = (4m + -2) (-30 + -15m) = (4m + -2) Reorder the terms: -30 + -15m = (-2 + 4m) Remove parenthesis around (-2 + 4m) -30 + -15m = -2 + 4m Solving -30 + -15m = -2 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -30 + -15m + -4m = -2 + 4m + -4m Combine like terms: -15m + -4m = -19m -30 + -19m = -2 + 4m + -4m Combine like terms: 4m + -4m = 0 -30 + -19m = -2 + 0 -30 + -19m = -2 Add '30' to each side of the equation. -30 + 30 + -19m = -2 + 30 Combine like terms: -30 + 30 = 0 0 + -19m = -2 + 30 -19m = -2 + 30 Combine like terms: -2 + 30 = 28 -19m = 28 Divide each side by '-19'. m = -1.473684211 Simplifying m = -1.473684211
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