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Simplifying 7(m + 3) = 6(m + 5) + -8m Reorder the terms: 7(3 + m) = 6(m + 5) + -8m (3 * 7 + m * 7) = 6(m + 5) + -8m (21 + 7m) = 6(m + 5) + -8m Reorder the terms: 21 + 7m = 6(5 + m) + -8m 21 + 7m = (5 * 6 + m * 6) + -8m 21 + 7m = (30 + 6m) + -8m Combine like terms: 6m + -8m = -2m 21 + 7m = 30 + -2m Solving 21 + 7m = 30 + -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. 21 + 7m + 2m = 30 + -2m + 2m Combine like terms: 7m + 2m = 9m 21 + 9m = 30 + -2m + 2m Combine like terms: -2m + 2m = 0 21 + 9m = 30 + 0 21 + 9m = 30 Add '-21' to each side of the equation. 21 + -21 + 9m = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 9m = 30 + -21 9m = 30 + -21 Combine like terms: 30 + -21 = 9 9m = 9 Divide each side by '9'. m = 1 Simplifying m = 1
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