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Simplifying 2(m + 4) = 4(m + 3) Reorder the terms: 2(4 + m) = 4(m + 3) (4 * 2 + m * 2) = 4(m + 3) (8 + 2m) = 4(m + 3) Reorder the terms: 8 + 2m = 4(3 + m) 8 + 2m = (3 * 4 + m * 4) 8 + 2m = (12 + 4m) Solving 8 + 2m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 8 + 2m + -4m = 12 + 4m + -4m Combine like terms: 2m + -4m = -2m 8 + -2m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + -2m = 12 + 0 8 + -2m = 12 Add '-8' to each side of the equation. 8 + -8 + -2m = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = 12 + -8 -2m = 12 + -8 Combine like terms: 12 + -8 = 4 -2m = 4 Divide each side by '-2'. m = -2 Simplifying m = -2
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