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Simplifying 58 = 6(1 + -8m) + -4(-4 + -3m) 58 = (1 * 6 + -8m * 6) + -4(-4 + -3m) 58 = (6 + -48m) + -4(-4 + -3m) 58 = 6 + -48m + (-4 * -4 + -3m * -4) 58 = 6 + -48m + (16 + 12m) Reorder the terms: 58 = 6 + 16 + -48m + 12m Combine like terms: 6 + 16 = 22 58 = 22 + -48m + 12m Combine like terms: -48m + 12m = -36m 58 = 22 + -36m Solving 58 = 22 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. 58 + 36m = 22 + -36m + 36m Combine like terms: -36m + 36m = 0 58 + 36m = 22 + 0 58 + 36m = 22 Add '-58' to each side of the equation. 58 + -58 + 36m = 22 + -58 Combine like terms: 58 + -58 = 0 0 + 36m = 22 + -58 36m = 22 + -58 Combine like terms: 22 + -58 = -36 36m = -36 Divide each side by '36'. m = -1 Simplifying m = -1
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