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Simplifying 2(4 + 3m) = 7(m + 2) (4 * 2 + 3m * 2) = 7(m + 2) (8 + 6m) = 7(m + 2) Reorder the terms: 8 + 6m = 7(2 + m) 8 + 6m = (2 * 7 + m * 7) 8 + 6m = (14 + 7m) Solving 8 + 6m = 14 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 8 + 6m + -7m = 14 + 7m + -7m Combine like terms: 6m + -7m = -1m 8 + -1m = 14 + 7m + -7m Combine like terms: 7m + -7m = 0 8 + -1m = 14 + 0 8 + -1m = 14 Add '-8' to each side of the equation. 8 + -8 + -1m = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 14 + -8 -1m = 14 + -8 Combine like terms: 14 + -8 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6
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