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Simplifying m + -2(1 + -2m) = -1(m + -10) m + (1 * -2 + -2m * -2) = -1(m + -10) m + (-2 + 4m) = -1(m + -10) Reorder the terms: -2 + m + 4m = -1(m + -10) Combine like terms: m + 4m = 5m -2 + 5m = -1(m + -10) Reorder the terms: -2 + 5m = -1(-10 + m) -2 + 5m = (-10 * -1 + m * -1) -2 + 5m = (10 + -1m) Solving -2 + 5m = 10 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -2 + 5m + m = 10 + -1m + m Combine like terms: 5m + m = 6m -2 + 6m = 10 + -1m + m Combine like terms: -1m + m = 0 -2 + 6m = 10 + 0 -2 + 6m = 10 Add '2' to each side of the equation. -2 + 2 + 6m = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6m = 10 + 2 6m = 10 + 2 Combine like terms: 10 + 2 = 12 6m = 12 Divide each side by '6'. m = 2 Simplifying m = 2
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