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