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Simplifying 4(m + 4) = 2(m + 2) Reorder the terms: 4(4 + m) = 2(m + 2) (4 * 4 + m * 4) = 2(m + 2) (16 + 4m) = 2(m + 2) Reorder the terms: 16 + 4m = 2(2 + m) 16 + 4m = (2 * 2 + m * 2) 16 + 4m = (4 + 2m) Solving 16 + 4m = 4 + 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. 16 + 4m + -2m = 4 + 2m + -2m Combine like terms: 4m + -2m = 2m 16 + 2m = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 16 + 2m = 4 + 0 16 + 2m = 4 Add '-16' to each side of the equation. 16 + -16 + 2m = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2m = 4 + -16 2m = 4 + -16 Combine like terms: 4 + -16 = -12 2m = -12 Divide each side by '2'. m = -6 Simplifying m = -6
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