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Simplifying 6 = 3(m + 7) Reorder the terms: 6 = 3(7 + m) 6 = (7 * 3 + m * 3) 6 = (21 + 3m) Solving 6 = 21 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 6 + -3m = 21 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -3m = 21 + 0 6 + -3m = 21 Add '-6' to each side of the equation. 6 + -6 + -3m = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -3m = 21 + -6 -3m = 21 + -6 Combine like terms: 21 + -6 = 15 -3m = 15 Divide each side by '-3'. m = -5 Simplifying m = -5
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