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Simplifying 58 = -6(m + -1) + 8(-6m + -7) Reorder the terms: 58 = -6(-1 + m) + 8(-6m + -7) 58 = (-1 * -6 + m * -6) + 8(-6m + -7) 58 = (6 + -6m) + 8(-6m + -7) Reorder the terms: 58 = 6 + -6m + 8(-7 + -6m) 58 = 6 + -6m + (-7 * 8 + -6m * 8) 58 = 6 + -6m + (-56 + -48m) Reorder the terms: 58 = 6 + -56 + -6m + -48m Combine like terms: 6 + -56 = -50 58 = -50 + -6m + -48m Combine like terms: -6m + -48m = -54m 58 = -50 + -54m Solving 58 = -50 + -54m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '54m' to each side of the equation. 58 + 54m = -50 + -54m + 54m Combine like terms: -54m + 54m = 0 58 + 54m = -50 + 0 58 + 54m = -50 Add '-58' to each side of the equation. 58 + -58 + 54m = -50 + -58 Combine like terms: 58 + -58 = 0 0 + 54m = -50 + -58 54m = -50 + -58 Combine like terms: -50 + -58 = -108 54m = -108 Divide each side by '54'. m = -2 Simplifying m = -2
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