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Simplifying -70 = 8(3 + 8m) + 3(4m + -6) -70 = (3 * 8 + 8m * 8) + 3(4m + -6) -70 = (24 + 64m) + 3(4m + -6) Reorder the terms: -70 = 24 + 64m + 3(-6 + 4m) -70 = 24 + 64m + (-6 * 3 + 4m * 3) -70 = 24 + 64m + (-18 + 12m) Reorder the terms: -70 = 24 + -18 + 64m + 12m Combine like terms: 24 + -18 = 6 -70 = 6 + 64m + 12m Combine like terms: 64m + 12m = 76m -70 = 6 + 76m Solving -70 = 6 + 76m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-76m' to each side of the equation. -70 + -76m = 6 + 76m + -76m Combine like terms: 76m + -76m = 0 -70 + -76m = 6 + 0 -70 + -76m = 6 Add '70' to each side of the equation. -70 + 70 + -76m = 6 + 70 Combine like terms: -70 + 70 = 0 0 + -76m = 6 + 70 -76m = 6 + 70 Combine like terms: 6 + 70 = 76 -76m = 76 Divide each side by '-76'. m = -1 Simplifying m = -1
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