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Simplifying -5m + 22 + -2(m + -1) = 7m + -1(9m + -5) + -2m + 7 Reorder the terms: -5m + 22 + -2(-1 + m) = 7m + -1(9m + -5) + -2m + 7 -5m + 22 + (-1 * -2 + m * -2) = 7m + -1(9m + -5) + -2m + 7 -5m + 22 + (2 + -2m) = 7m + -1(9m + -5) + -2m + 7 Reorder the terms: 22 + 2 + -5m + -2m = 7m + -1(9m + -5) + -2m + 7 Combine like terms: 22 + 2 = 24 24 + -5m + -2m = 7m + -1(9m + -5) + -2m + 7 Combine like terms: -5m + -2m = -7m 24 + -7m = 7m + -1(9m + -5) + -2m + 7 Reorder the terms: 24 + -7m = 7m + -1(-5 + 9m) + -2m + 7 24 + -7m = 7m + (-5 * -1 + 9m * -1) + -2m + 7 24 + -7m = 7m + (5 + -9m) + -2m + 7 Reorder the terms: 24 + -7m = 5 + 7 + 7m + -9m + -2m Combine like terms: 5 + 7 = 12 24 + -7m = 12 + 7m + -9m + -2m Combine like terms: 7m + -9m = -2m 24 + -7m = 12 + -2m + -2m Combine like terms: -2m + -2m = -4m 24 + -7m = 12 + -4m Solving 24 + -7m = 12 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 24 + -7m + 4m = 12 + -4m + 4m Combine like terms: -7m + 4m = -3m 24 + -3m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 24 + -3m = 12 + 0 24 + -3m = 12 Add '-24' to each side of the equation. 24 + -24 + -3m = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3m = 12 + -24 -3m = 12 + -24 Combine like terms: 12 + -24 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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