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Simplifying 4(2m + -1) = -10(m + -5) Reorder the terms: 4(-1 + 2m) = -10(m + -5) (-1 * 4 + 2m * 4) = -10(m + -5) (-4 + 8m) = -10(m + -5) Reorder the terms: -4 + 8m = -10(-5 + m) -4 + 8m = (-5 * -10 + m * -10) -4 + 8m = (50 + -10m) Solving -4 + 8m = 50 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -4 + 8m + 10m = 50 + -10m + 10m Combine like terms: 8m + 10m = 18m -4 + 18m = 50 + -10m + 10m Combine like terms: -10m + 10m = 0 -4 + 18m = 50 + 0 -4 + 18m = 50 Add '4' to each side of the equation. -4 + 4 + 18m = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 18m = 50 + 4 18m = 50 + 4 Combine like terms: 50 + 4 = 54 18m = 54 Divide each side by '18'. m = 3 Simplifying m = 3
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