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Simplifying 2(m + -1) = 5(4m + -4) Reorder the terms: 2(-1 + m) = 5(4m + -4) (-1 * 2 + m * 2) = 5(4m + -4) (-2 + 2m) = 5(4m + -4) Reorder the terms: -2 + 2m = 5(-4 + 4m) -2 + 2m = (-4 * 5 + 4m * 5) -2 + 2m = (-20 + 20m) Solving -2 + 2m = -20 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -2 + 2m + -20m = -20 + 20m + -20m Combine like terms: 2m + -20m = -18m -2 + -18m = -20 + 20m + -20m Combine like terms: 20m + -20m = 0 -2 + -18m = -20 + 0 -2 + -18m = -20 Add '2' to each side of the equation. -2 + 2 + -18m = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -18m = -20 + 2 -18m = -20 + 2 Combine like terms: -20 + 2 = -18 -18m = -18 Divide each side by '-18'. m = 1 Simplifying m = 1
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