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Simplifying 4(m + -6) = 8m + -40 Reorder the terms: 4(-6 + m) = 8m + -40 (-6 * 4 + m * 4) = 8m + -40 (-24 + 4m) = 8m + -40 Reorder the terms: -24 + 4m = -40 + 8m Solving -24 + 4m = -40 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -24 + 4m + -8m = -40 + 8m + -8m Combine like terms: 4m + -8m = -4m -24 + -4m = -40 + 8m + -8m Combine like terms: 8m + -8m = 0 -24 + -4m = -40 + 0 -24 + -4m = -40 Add '24' to each side of the equation. -24 + 24 + -4m = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -4m = -40 + 24 -4m = -40 + 24 Combine like terms: -40 + 24 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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