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Simplifying -5m + 22 + -1(m + -1) = 7m + -1(9m + -5) + -2m + 7 Reorder the terms: -5m + 22 + -1(-1 + m) = 7m + -1(9m + -5) + -2m + 7 -5m + 22 + (-1 * -1 + m * -1) = 7m + -1(9m + -5) + -2m + 7 -5m + 22 + (1 + -1m) = 7m + -1(9m + -5) + -2m + 7 Reorder the terms: 22 + 1 + -5m + -1m = 7m + -1(9m + -5) + -2m + 7 Combine like terms: 22 + 1 = 23 23 + -5m + -1m = 7m + -1(9m + -5) + -2m + 7 Combine like terms: -5m + -1m = -6m 23 + -6m = 7m + -1(9m + -5) + -2m + 7 Reorder the terms: 23 + -6m = 7m + -1(-5 + 9m) + -2m + 7 23 + -6m = 7m + (-5 * -1 + 9m * -1) + -2m + 7 23 + -6m = 7m + (5 + -9m) + -2m + 7 Reorder the terms: 23 + -6m = 5 + 7 + 7m + -9m + -2m Combine like terms: 5 + 7 = 12 23 + -6m = 12 + 7m + -9m + -2m Combine like terms: 7m + -9m = -2m 23 + -6m = 12 + -2m + -2m Combine like terms: -2m + -2m = -4m 23 + -6m = 12 + -4m Solving 23 + -6m = 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. 23 + -6m + 4m = 12 + -4m + 4m Combine like terms: -6m + 4m = -2m 23 + -2m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 23 + -2m = 12 + 0 23 + -2m = 12 Add '-23' to each side of the equation. 23 + -23 + -2m = 12 + -23 Combine like terms: 23 + -23 = 0 0 + -2m = 12 + -23 -2m = 12 + -23 Combine like terms: 12 + -23 = -11 -2m = -11 Divide each side by '-2'. m = 5.5 Simplifying m = 5.5
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