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Simplifying -4(-20m + -5) = -5(-8 + -18m) Reorder the terms: -4(-5 + -20m) = -5(-8 + -18m) (-5 * -4 + -20m * -4) = -5(-8 + -18m) (20 + 80m) = -5(-8 + -18m) 20 + 80m = (-8 * -5 + -18m * -5) 20 + 80m = (40 + 90m) Solving 20 + 80m = 40 + 90m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-90m' to each side of the equation. 20 + 80m + -90m = 40 + 90m + -90m Combine like terms: 80m + -90m = -10m 20 + -10m = 40 + 90m + -90m Combine like terms: 90m + -90m = 0 20 + -10m = 40 + 0 20 + -10m = 40 Add '-20' to each side of the equation. 20 + -20 + -10m = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -10m = 40 + -20 -10m = 40 + -20 Combine like terms: 40 + -20 = 20 -10m = 20 Divide each side by '-10'. m = -2 Simplifying m = -2
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