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Simplifying 8 + 2m = 4(m + 1) Reorder the terms: 8 + 2m = 4(1 + m) 8 + 2m = (1 * 4 + m * 4) 8 + 2m = (4 + 4m) Solving 8 + 2m = 4 + 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 = 4 + 4m + -4m Combine like terms: 2m + -4m = -2m 8 + -2m = 4 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + -2m = 4 + 0 8 + -2m = 4 Add '-8' to each side of the equation. 8 + -8 + -2m = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = 4 + -8 -2m = 4 + -8 Combine like terms: 4 + -8 = -4 -2m = -4 Divide each side by '-2'. m = 2 Simplifying m = 2
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