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Simplifying 4(m + -8) + -5(2m + -4) = 6 Reorder the terms: 4(-8 + m) + -5(2m + -4) = 6 (-8 * 4 + m * 4) + -5(2m + -4) = 6 (-32 + 4m) + -5(2m + -4) = 6 Reorder the terms: -32 + 4m + -5(-4 + 2m) = 6 -32 + 4m + (-4 * -5 + 2m * -5) = 6 -32 + 4m + (20 + -10m) = 6 Reorder the terms: -32 + 20 + 4m + -10m = 6 Combine like terms: -32 + 20 = -12 -12 + 4m + -10m = 6 Combine like terms: 4m + -10m = -6m -12 + -6m = 6 Solving -12 + -6m = 6 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 + -6m = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -6m = 6 + 12 -6m = 6 + 12 Combine like terms: 6 + 12 = 18 -6m = 18 Divide each side by '-6'. m = -3 Simplifying m = -3
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