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Simplifying 3(m + 7) = 6(m + 2) Reorder the terms: 3(7 + m) = 6(m + 2) (7 * 3 + m * 3) = 6(m + 2) (21 + 3m) = 6(m + 2) Reorder the terms: 21 + 3m = 6(2 + m) 21 + 3m = (2 * 6 + m * 6) 21 + 3m = (12 + 6m) Solving 21 + 3m = 12 + 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. 21 + 3m + -6m = 12 + 6m + -6m Combine like terms: 3m + -6m = -3m 21 + -3m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 21 + -3m = 12 + 0 21 + -3m = 12 Add '-21' to each side of the equation. 21 + -21 + -3m = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -3m = 12 + -21 -3m = 12 + -21 Combine like terms: 12 + -21 = -9 -3m = -9 Divide each side by '-3'. m = 3 Simplifying m = 3
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