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Simplifying 2(m + 8) = 4(m + 6) Reorder the terms: 2(8 + m) = 4(m + 6) (8 * 2 + m * 2) = 4(m + 6) (16 + 2m) = 4(m + 6) Reorder the terms: 16 + 2m = 4(6 + m) 16 + 2m = (6 * 4 + m * 4) 16 + 2m = (24 + 4m) Solving 16 + 2m = 24 + 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. 16 + 2m + -4m = 24 + 4m + -4m Combine like terms: 2m + -4m = -2m 16 + -2m = 24 + 4m + -4m Combine like terms: 4m + -4m = 0 16 + -2m = 24 + 0 16 + -2m = 24 Add '-16' to each side of the equation. 16 + -16 + -2m = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -2m = 24 + -16 -2m = 24 + -16 Combine like terms: 24 + -16 = 8 -2m = 8 Divide each side by '-2'. m = -4 Simplifying m = -4
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