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Simplifying 8(1 + -4m) + 8(m + 3) = 32 (1 * 8 + -4m * 8) + 8(m + 3) = 32 (8 + -32m) + 8(m + 3) = 32 Reorder the terms: 8 + -32m + 8(3 + m) = 32 8 + -32m + (3 * 8 + m * 8) = 32 8 + -32m + (24 + 8m) = 32 Reorder the terms: 8 + 24 + -32m + 8m = 32 Combine like terms: 8 + 24 = 32 32 + -32m + 8m = 32 Combine like terms: -32m + 8m = -24m 32 + -24m = 32 Add '-32' to each side of the equation. 32 + -32 + -24m = 32 + -32 Combine like terms: 32 + -32 = 0 0 + -24m = 32 + -32 -24m = 32 + -32 Combine like terms: 32 + -32 = 0 -24m = 0 Solving -24m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '-24'. m = 0 Simplifying m = 0
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