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Simplifying 3(m + 4) = 6(m + -3) Reorder the terms: 3(4 + m) = 6(m + -3) (4 * 3 + m * 3) = 6(m + -3) (12 + 3m) = 6(m + -3) Reorder the terms: 12 + 3m = 6(-3 + m) 12 + 3m = (-3 * 6 + m * 6) 12 + 3m = (-18 + 6m) Solving 12 + 3m = -18 + 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. 12 + 3m + -6m = -18 + 6m + -6m Combine like terms: 3m + -6m = -3m 12 + -3m = -18 + 6m + -6m Combine like terms: 6m + -6m = 0 12 + -3m = -18 + 0 12 + -3m = -18 Add '-12' to each side of the equation. 12 + -12 + -3m = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -3m = -18 + -12 -3m = -18 + -12 Combine like terms: -18 + -12 = -30 -3m = -30 Divide each side by '-3'. m = 10 Simplifying m = 10
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