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Simplifying 3(m + 6) = 2(m + -6) Reorder the terms: 3(6 + m) = 2(m + -6) (6 * 3 + m * 3) = 2(m + -6) (18 + 3m) = 2(m + -6) Reorder the terms: 18 + 3m = 2(-6 + m) 18 + 3m = (-6 * 2 + m * 2) 18 + 3m = (-12 + 2m) Solving 18 + 3m = -12 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 18 + 3m + -2m = -12 + 2m + -2m Combine like terms: 3m + -2m = 1m 18 + 1m = -12 + 2m + -2m Combine like terms: 2m + -2m = 0 18 + 1m = -12 + 0 18 + 1m = -12 Add '-18' to each side of the equation. 18 + -18 + 1m = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 1m = -12 + -18 1m = -12 + -18 Combine like terms: -12 + -18 = -30 1m = -30 Divide each side by '1'. m = -30 Simplifying m = -30
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