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Simplifying 10(-2m + -1) + 2(5 + 8m) = -10m + -4 + 4m Reorder the terms: 10(-1 + -2m) + 2(5 + 8m) = -10m + -4 + 4m (-1 * 10 + -2m * 10) + 2(5 + 8m) = -10m + -4 + 4m (-10 + -20m) + 2(5 + 8m) = -10m + -4 + 4m -10 + -20m + (5 * 2 + 8m * 2) = -10m + -4 + 4m -10 + -20m + (10 + 16m) = -10m + -4 + 4m Reorder the terms: -10 + 10 + -20m + 16m = -10m + -4 + 4m Combine like terms: -10 + 10 = 0 0 + -20m + 16m = -10m + -4 + 4m -20m + 16m = -10m + -4 + 4m Combine like terms: -20m + 16m = -4m -4m = -10m + -4 + 4m Reorder the terms: -4m = -4 + -10m + 4m Combine like terms: -10m + 4m = -6m -4m = -4 + -6m Solving -4m = -4 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -4m + 6m = -4 + -6m + 6m Combine like terms: -4m + 6m = 2m 2m = -4 + -6m + 6m Combine like terms: -6m + 6m = 0 2m = -4 + 0 2m = -4 Divide each side by '2'. m = -2 Simplifying m = -2
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