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Simplifying 5(2m + -4) = 6(m + -4) Reorder the terms: 5(-4 + 2m) = 6(m + -4) (-4 * 5 + 2m * 5) = 6(m + -4) (-20 + 10m) = 6(m + -4) Reorder the terms: -20 + 10m = 6(-4 + m) -20 + 10m = (-4 * 6 + m * 6) -20 + 10m = (-24 + 6m) Solving -20 + 10m = -24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -20 + 10m + -6m = -24 + 6m + -6m Combine like terms: 10m + -6m = 4m -20 + 4m = -24 + 6m + -6m Combine like terms: 6m + -6m = 0 -20 + 4m = -24 + 0 -20 + 4m = -24 Add '20' to each side of the equation. -20 + 20 + 4m = -24 + 20 Combine like terms: -20 + 20 = 0 0 + 4m = -24 + 20 4m = -24 + 20 Combine like terms: -24 + 20 = -4 4m = -4 Divide each side by '4'. m = -1 Simplifying m = -1
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