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Simplifying 4(6m + -1) + 8(m + 2) = -20 Reorder the terms: 4(-1 + 6m) + 8(m + 2) = -20 (-1 * 4 + 6m * 4) + 8(m + 2) = -20 (-4 + 24m) + 8(m + 2) = -20 Reorder the terms: -4 + 24m + 8(2 + m) = -20 -4 + 24m + (2 * 8 + m * 8) = -20 -4 + 24m + (16 + 8m) = -20 Reorder the terms: -4 + 16 + 24m + 8m = -20 Combine like terms: -4 + 16 = 12 12 + 24m + 8m = -20 Combine like terms: 24m + 8m = 32m 12 + 32m = -20 Solving 12 + 32m = -20 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 32m = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 32m = -20 + -12 32m = -20 + -12 Combine like terms: -20 + -12 = -32 32m = -32 Divide each side by '32'. m = -1 Simplifying m = -1
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