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Simplifying 8(3 + -1m) = 5(6 + m) (3 * 8 + -1m * 8) = 5(6 + m) (24 + -8m) = 5(6 + m) 24 + -8m = (6 * 5 + m * 5) 24 + -8m = (30 + 5m) Solving 24 + -8m = 30 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 24 + -8m + -5m = 30 + 5m + -5m Combine like terms: -8m + -5m = -13m 24 + -13m = 30 + 5m + -5m Combine like terms: 5m + -5m = 0 24 + -13m = 30 + 0 24 + -13m = 30 Add '-24' to each side of the equation. 24 + -24 + -13m = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -13m = 30 + -24 -13m = 30 + -24 Combine like terms: 30 + -24 = 6 -13m = 6 Divide each side by '-13'. m = -0.4615384615 Simplifying m = -0.4615384615
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