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Simplifying -4(4m + -6) + -5(2m + -3) = 65 Reorder the terms: -4(-6 + 4m) + -5(2m + -3) = 65 (-6 * -4 + 4m * -4) + -5(2m + -3) = 65 (24 + -16m) + -5(2m + -3) = 65 Reorder the terms: 24 + -16m + -5(-3 + 2m) = 65 24 + -16m + (-3 * -5 + 2m * -5) = 65 24 + -16m + (15 + -10m) = 65 Reorder the terms: 24 + 15 + -16m + -10m = 65 Combine like terms: 24 + 15 = 39 39 + -16m + -10m = 65 Combine like terms: -16m + -10m = -26m 39 + -26m = 65 Solving 39 + -26m = 65 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -26m = 65 + -39 Combine like terms: 39 + -39 = 0 0 + -26m = 65 + -39 -26m = 65 + -39 Combine like terms: 65 + -39 = 26 -26m = 26 Divide each side by '-26'. m = -1 Simplifying m = -1
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