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Simplifying -2m + -25 + -7(m + -1) = 4m + -1(9m + -5) + -8m + 8 Reorder the terms: -2m + -25 + -7(-1 + m) = 4m + -1(9m + -5) + -8m + 8 -2m + -25 + (-1 * -7 + m * -7) = 4m + -1(9m + -5) + -8m + 8 -2m + -25 + (7 + -7m) = 4m + -1(9m + -5) + -8m + 8 Reorder the terms: -25 + 7 + -2m + -7m = 4m + -1(9m + -5) + -8m + 8 Combine like terms: -25 + 7 = -18 -18 + -2m + -7m = 4m + -1(9m + -5) + -8m + 8 Combine like terms: -2m + -7m = -9m -18 + -9m = 4m + -1(9m + -5) + -8m + 8 Reorder the terms: -18 + -9m = 4m + -1(-5 + 9m) + -8m + 8 -18 + -9m = 4m + (-5 * -1 + 9m * -1) + -8m + 8 -18 + -9m = 4m + (5 + -9m) + -8m + 8 Reorder the terms: -18 + -9m = 5 + 8 + 4m + -9m + -8m Combine like terms: 5 + 8 = 13 -18 + -9m = 13 + 4m + -9m + -8m Combine like terms: 4m + -9m = -5m -18 + -9m = 13 + -5m + -8m Combine like terms: -5m + -8m = -13m -18 + -9m = 13 + -13m Solving -18 + -9m = 13 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -18 + -9m + 13m = 13 + -13m + 13m Combine like terms: -9m + 13m = 4m -18 + 4m = 13 + -13m + 13m Combine like terms: -13m + 13m = 0 -18 + 4m = 13 + 0 -18 + 4m = 13 Add '18' to each side of the equation. -18 + 18 + 4m = 13 + 18 Combine like terms: -18 + 18 = 0 0 + 4m = 13 + 18 4m = 13 + 18 Combine like terms: 13 + 18 = 31 4m = 31 Divide each side by '4'. m = 7.75 Simplifying m = 7.75
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