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Simplifying 2(m + 4) = 2(3m + 9) Reorder the terms: 2(4 + m) = 2(3m + 9) (4 * 2 + m * 2) = 2(3m + 9) (8 + 2m) = 2(3m + 9) Reorder the terms: 8 + 2m = 2(9 + 3m) 8 + 2m = (9 * 2 + 3m * 2) 8 + 2m = (18 + 6m) Solving 8 + 2m = 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. 8 + 2m + -6m = 18 + 6m + -6m Combine like terms: 2m + -6m = -4m 8 + -4m = 18 + 6m + -6m Combine like terms: 6m + -6m = 0 8 + -4m = 18 + 0 8 + -4m = 18 Add '-8' to each side of the equation. 8 + -8 + -4m = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = 18 + -8 -4m = 18 + -8 Combine like terms: 18 + -8 = 10 -4m = 10 Divide each side by '-4'. m = -2.5 Simplifying m = -2.5
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