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Simplifying -2m + -5 + -3(m + -1) = 5m + -1(7m + -1) + -8m + 7 Reorder the terms: -2m + -5 + -3(-1 + m) = 5m + -1(7m + -1) + -8m + 7 -2m + -5 + (-1 * -3 + m * -3) = 5m + -1(7m + -1) + -8m + 7 -2m + -5 + (3 + -3m) = 5m + -1(7m + -1) + -8m + 7 Reorder the terms: -5 + 3 + -2m + -3m = 5m + -1(7m + -1) + -8m + 7 Combine like terms: -5 + 3 = -2 -2 + -2m + -3m = 5m + -1(7m + -1) + -8m + 7 Combine like terms: -2m + -3m = -5m -2 + -5m = 5m + -1(7m + -1) + -8m + 7 Reorder the terms: -2 + -5m = 5m + -1(-1 + 7m) + -8m + 7 -2 + -5m = 5m + (-1 * -1 + 7m * -1) + -8m + 7 -2 + -5m = 5m + (1 + -7m) + -8m + 7 Reorder the terms: -2 + -5m = 1 + 7 + 5m + -7m + -8m Combine like terms: 1 + 7 = 8 -2 + -5m = 8 + 5m + -7m + -8m Combine like terms: 5m + -7m = -2m -2 + -5m = 8 + -2m + -8m Combine like terms: -2m + -8m = -10m -2 + -5m = 8 + -10m Solving -2 + -5m = 8 + -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. -2 + -5m + 10m = 8 + -10m + 10m Combine like terms: -5m + 10m = 5m -2 + 5m = 8 + -10m + 10m Combine like terms: -10m + 10m = 0 -2 + 5m = 8 + 0 -2 + 5m = 8 Add '2' to each side of the equation. -2 + 2 + 5m = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5m = 8 + 2 5m = 8 + 2 Combine like terms: 8 + 2 = 10 5m = 10 Divide each side by '5'. m = 2 Simplifying m = 2
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