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Simplifying 5(m + -6) + -8(2m + -5) = 2m + -8m Reorder the terms: 5(-6 + m) + -8(2m + -5) = 2m + -8m (-6 * 5 + m * 5) + -8(2m + -5) = 2m + -8m (-30 + 5m) + -8(2m + -5) = 2m + -8m Reorder the terms: -30 + 5m + -8(-5 + 2m) = 2m + -8m -30 + 5m + (-5 * -8 + 2m * -8) = 2m + -8m -30 + 5m + (40 + -16m) = 2m + -8m Reorder the terms: -30 + 40 + 5m + -16m = 2m + -8m Combine like terms: -30 + 40 = 10 10 + 5m + -16m = 2m + -8m Combine like terms: 5m + -16m = -11m 10 + -11m = 2m + -8m Combine like terms: 2m + -8m = -6m 10 + -11m = -6m Solving 10 + -11m = -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 10 + -11m + 6m = -6m + 6m Combine like terms: -11m + 6m = -5m 10 + -5m = -6m + 6m Combine like terms: -6m + 6m = 0 10 + -5m = 0 Add '-10' to each side of the equation. 10 + -10 + -5m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5m = 0 + -10 -5m = 0 + -10 Combine like terms: 0 + -10 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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