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Simplifying -70 = 6(m + 6) + 8(-3m + -2) Reorder the terms: -70 = 6(6 + m) + 8(-3m + -2) -70 = (6 * 6 + m * 6) + 8(-3m + -2) -70 = (36 + 6m) + 8(-3m + -2) Reorder the terms: -70 = 36 + 6m + 8(-2 + -3m) -70 = 36 + 6m + (-2 * 8 + -3m * 8) -70 = 36 + 6m + (-16 + -24m) Reorder the terms: -70 = 36 + -16 + 6m + -24m Combine like terms: 36 + -16 = 20 -70 = 20 + 6m + -24m Combine like terms: 6m + -24m = -18m -70 = 20 + -18m Solving -70 = 20 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. -70 + 18m = 20 + -18m + 18m Combine like terms: -18m + 18m = 0 -70 + 18m = 20 + 0 -70 + 18m = 20 Add '70' to each side of the equation. -70 + 70 + 18m = 20 + 70 Combine like terms: -70 + 70 = 0 0 + 18m = 20 + 70 18m = 20 + 70 Combine like terms: 20 + 70 = 90 18m = 90 Divide each side by '18'. m = 5 Simplifying m = 5
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