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Simplifying 10(2m + 8) = 4(10m + -5) Reorder the terms: 10(8 + 2m) = 4(10m + -5) (8 * 10 + 2m * 10) = 4(10m + -5) (80 + 20m) = 4(10m + -5) Reorder the terms: 80 + 20m = 4(-5 + 10m) 80 + 20m = (-5 * 4 + 10m * 4) 80 + 20m = (-20 + 40m) Solving 80 + 20m = -20 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. 80 + 20m + -40m = -20 + 40m + -40m Combine like terms: 20m + -40m = -20m 80 + -20m = -20 + 40m + -40m Combine like terms: 40m + -40m = 0 80 + -20m = -20 + 0 80 + -20m = -20 Add '-80' to each side of the equation. 80 + -80 + -20m = -20 + -80 Combine like terms: 80 + -80 = 0 0 + -20m = -20 + -80 -20m = -20 + -80 Combine like terms: -20 + -80 = -100 -20m = -100 Divide each side by '-20'. m = 5 Simplifying m = 5
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