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Simplifying -6(-8m + -5) = 7(6 + 6m) Reorder the terms: -6(-5 + -8m) = 7(6 + 6m) (-5 * -6 + -8m * -6) = 7(6 + 6m) (30 + 48m) = 7(6 + 6m) 30 + 48m = (6 * 7 + 6m * 7) 30 + 48m = (42 + 42m) Solving 30 + 48m = 42 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 30 + 48m + -42m = 42 + 42m + -42m Combine like terms: 48m + -42m = 6m 30 + 6m = 42 + 42m + -42m Combine like terms: 42m + -42m = 0 30 + 6m = 42 + 0 30 + 6m = 42 Add '-30' to each side of the equation. 30 + -30 + 6m = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 6m = 42 + -30 6m = 42 + -30 Combine like terms: 42 + -30 = 12 6m = 12 Divide each side by '6'. m = 2 Simplifying m = 2
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