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Simplifying -10(m + 10) = 10(8 + -3m) Reorder the terms: -10(10 + m) = 10(8 + -3m) (10 * -10 + m * -10) = 10(8 + -3m) (-100 + -10m) = 10(8 + -3m) -100 + -10m = (8 * 10 + -3m * 10) -100 + -10m = (80 + -30m) Solving -100 + -10m = 80 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. -100 + -10m + 30m = 80 + -30m + 30m Combine like terms: -10m + 30m = 20m -100 + 20m = 80 + -30m + 30m Combine like terms: -30m + 30m = 0 -100 + 20m = 80 + 0 -100 + 20m = 80 Add '100' to each side of the equation. -100 + 100 + 20m = 80 + 100 Combine like terms: -100 + 100 = 0 0 + 20m = 80 + 100 20m = 80 + 100 Combine like terms: 80 + 100 = 180 20m = 180 Divide each side by '20'. m = 9 Simplifying m = 9
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