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Simplifying 15 + -6(3m + -4) = 3(2m + 5) + -4(7m + -3) Reorder the terms: 15 + -6(-4 + 3m) = 3(2m + 5) + -4(7m + -3) 15 + (-4 * -6 + 3m * -6) = 3(2m + 5) + -4(7m + -3) 15 + (24 + -18m) = 3(2m + 5) + -4(7m + -3) Combine like terms: 15 + 24 = 39 39 + -18m = 3(2m + 5) + -4(7m + -3) Reorder the terms: 39 + -18m = 3(5 + 2m) + -4(7m + -3) 39 + -18m = (5 * 3 + 2m * 3) + -4(7m + -3) 39 + -18m = (15 + 6m) + -4(7m + -3) Reorder the terms: 39 + -18m = 15 + 6m + -4(-3 + 7m) 39 + -18m = 15 + 6m + (-3 * -4 + 7m * -4) 39 + -18m = 15 + 6m + (12 + -28m) Reorder the terms: 39 + -18m = 15 + 12 + 6m + -28m Combine like terms: 15 + 12 = 27 39 + -18m = 27 + 6m + -28m Combine like terms: 6m + -28m = -22m 39 + -18m = 27 + -22m Solving 39 + -18m = 27 + -22m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '22m' to each side of the equation. 39 + -18m + 22m = 27 + -22m + 22m Combine like terms: -18m + 22m = 4m 39 + 4m = 27 + -22m + 22m Combine like terms: -22m + 22m = 0 39 + 4m = 27 + 0 39 + 4m = 27 Add '-39' to each side of the equation. 39 + -39 + 4m = 27 + -39 Combine like terms: 39 + -39 = 0 0 + 4m = 27 + -39 4m = 27 + -39 Combine like terms: 27 + -39 = -12 4m = -12 Divide each side by '4'. m = -3 Simplifying m = -3
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