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Simplifying 3(m + 6) = 6(m + 1) Reorder the terms: 3(6 + m) = 6(m + 1) (6 * 3 + m * 3) = 6(m + 1) (18 + 3m) = 6(m + 1) Reorder the terms: 18 + 3m = 6(1 + m) 18 + 3m = (1 * 6 + m * 6) 18 + 3m = (6 + 6m) Solving 18 + 3m = 6 + 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. 18 + 3m + -6m = 6 + 6m + -6m Combine like terms: 3m + -6m = -3m 18 + -3m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 18 + -3m = 6 + 0 18 + -3m = 6 Add '-18' to each side of the equation. 18 + -18 + -3m = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -3m = 6 + -18 -3m = 6 + -18 Combine like terms: 6 + -18 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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