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Simplifying 7(m + 5) = 6(m + 3) Reorder the terms: 7(5 + m) = 6(m + 3) (5 * 7 + m * 7) = 6(m + 3) (35 + 7m) = 6(m + 3) Reorder the terms: 35 + 7m = 6(3 + m) 35 + 7m = (3 * 6 + m * 6) 35 + 7m = (18 + 6m) Solving 35 + 7m = 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. 35 + 7m + -6m = 18 + 6m + -6m Combine like terms: 7m + -6m = 1m 35 + 1m = 18 + 6m + -6m Combine like terms: 6m + -6m = 0 35 + 1m = 18 + 0 35 + 1m = 18 Add '-35' to each side of the equation. 35 + -35 + 1m = 18 + -35 Combine like terms: 35 + -35 = 0 0 + 1m = 18 + -35 1m = 18 + -35 Combine like terms: 18 + -35 = -17 1m = -17 Divide each side by '1'. m = -17 Simplifying m = -17
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