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Simplifying 3(m + 9) = 6(-4 + m) Reorder the terms: 3(9 + m) = 6(-4 + m) (9 * 3 + m * 3) = 6(-4 + m) (27 + 3m) = 6(-4 + m) 27 + 3m = (-4 * 6 + m * 6) 27 + 3m = (-24 + 6m) Solving 27 + 3m = -24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 27 + 3m + -6m = -24 + 6m + -6m Combine like terms: 3m + -6m = -3m 27 + -3m = -24 + 6m + -6m Combine like terms: 6m + -6m = 0 27 + -3m = -24 + 0 27 + -3m = -24 Add '-27' to each side of the equation. 27 + -27 + -3m = -24 + -27 Combine like terms: 27 + -27 = 0 0 + -3m = -24 + -27 -3m = -24 + -27 Combine like terms: -24 + -27 = -51 -3m = -51 Divide each side by '-3'. m = 17 Simplifying m = 17
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