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Simplifying -1(1 + 5m) + -1(8 + -2m) = 1 + -11m + m + 4 (1 * -1 + 5m * -1) + -1(8 + -2m) = 1 + -11m + m + 4 (-1 + -5m) + -1(8 + -2m) = 1 + -11m + m + 4 -1 + -5m + (8 * -1 + -2m * -1) = 1 + -11m + m + 4 -1 + -5m + (-8 + 2m) = 1 + -11m + m + 4 Reorder the terms: -1 + -8 + -5m + 2m = 1 + -11m + m + 4 Combine like terms: -1 + -8 = -9 -9 + -5m + 2m = 1 + -11m + m + 4 Combine like terms: -5m + 2m = -3m -9 + -3m = 1 + -11m + m + 4 Reorder the terms: -9 + -3m = 1 + 4 + -11m + m Combine like terms: 1 + 4 = 5 -9 + -3m = 5 + -11m + m Combine like terms: -11m + m = -10m -9 + -3m = 5 + -10m Solving -9 + -3m = 5 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -9 + -3m + 10m = 5 + -10m + 10m Combine like terms: -3m + 10m = 7m -9 + 7m = 5 + -10m + 10m Combine like terms: -10m + 10m = 0 -9 + 7m = 5 + 0 -9 + 7m = 5 Add '9' to each side of the equation. -9 + 9 + 7m = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 7m = 5 + 9 7m = 5 + 9 Combine like terms: 5 + 9 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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