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Simplifying 4(8 + m) = 2m + 16 (8 * 4 + m * 4) = 2m + 16 (32 + 4m) = 2m + 16 Reorder the terms: 32 + 4m = 16 + 2m Solving 32 + 4m = 16 + 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. 32 + 4m + -2m = 16 + 2m + -2m Combine like terms: 4m + -2m = 2m 32 + 2m = 16 + 2m + -2m Combine like terms: 2m + -2m = 0 32 + 2m = 16 + 0 32 + 2m = 16 Add '-32' to each side of the equation. 32 + -32 + 2m = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2m = 16 + -32 2m = 16 + -32 Combine like terms: 16 + -32 = -16 2m = -16 Divide each side by '2'. m = -8 Simplifying m = -8
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