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Simplifying 8(3m + 6) = 9(2m + -4) Reorder the terms: 8(6 + 3m) = 9(2m + -4) (6 * 8 + 3m * 8) = 9(2m + -4) (48 + 24m) = 9(2m + -4) Reorder the terms: 48 + 24m = 9(-4 + 2m) 48 + 24m = (-4 * 9 + 2m * 9) 48 + 24m = (-36 + 18m) Solving 48 + 24m = -36 + 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. 48 + 24m + -18m = -36 + 18m + -18m Combine like terms: 24m + -18m = 6m 48 + 6m = -36 + 18m + -18m Combine like terms: 18m + -18m = 0 48 + 6m = -36 + 0 48 + 6m = -36 Add '-48' to each side of the equation. 48 + -48 + 6m = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 6m = -36 + -48 6m = -36 + -48 Combine like terms: -36 + -48 = -84 6m = -84 Divide each side by '6'. m = -14 Simplifying m = -14
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