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Simplifying 5(m + -1) + -1(1 + -2m) = 8 Reorder the terms: 5(-1 + m) + -1(1 + -2m) = 8 (-1 * 5 + m * 5) + -1(1 + -2m) = 8 (-5 + 5m) + -1(1 + -2m) = 8 -5 + 5m + (1 * -1 + -2m * -1) = 8 -5 + 5m + (-1 + 2m) = 8 Reorder the terms: -5 + -1 + 5m + 2m = 8 Combine like terms: -5 + -1 = -6 -6 + 5m + 2m = 8 Combine like terms: 5m + 2m = 7m -6 + 7m = 8 Solving -6 + 7m = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7m = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7m = 8 + 6 7m = 8 + 6 Combine like terms: 8 + 6 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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