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Simplifying -7m + 14 + -7(m + -1) = 4m + -1(9m + -2) + -2m + 5 Reorder the terms: -7m + 14 + -7(-1 + m) = 4m + -1(9m + -2) + -2m + 5 -7m + 14 + (-1 * -7 + m * -7) = 4m + -1(9m + -2) + -2m + 5 -7m + 14 + (7 + -7m) = 4m + -1(9m + -2) + -2m + 5 Reorder the terms: 14 + 7 + -7m + -7m = 4m + -1(9m + -2) + -2m + 5 Combine like terms: 14 + 7 = 21 21 + -7m + -7m = 4m + -1(9m + -2) + -2m + 5 Combine like terms: -7m + -7m = -14m 21 + -14m = 4m + -1(9m + -2) + -2m + 5 Reorder the terms: 21 + -14m = 4m + -1(-2 + 9m) + -2m + 5 21 + -14m = 4m + (-2 * -1 + 9m * -1) + -2m + 5 21 + -14m = 4m + (2 + -9m) + -2m + 5 Reorder the terms: 21 + -14m = 2 + 5 + 4m + -9m + -2m Combine like terms: 2 + 5 = 7 21 + -14m = 7 + 4m + -9m + -2m Combine like terms: 4m + -9m = -5m 21 + -14m = 7 + -5m + -2m Combine like terms: -5m + -2m = -7m 21 + -14m = 7 + -7m Solving 21 + -14m = 7 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 21 + -14m + 7m = 7 + -7m + 7m Combine like terms: -14m + 7m = -7m 21 + -7m = 7 + -7m + 7m Combine like terms: -7m + 7m = 0 21 + -7m = 7 + 0 21 + -7m = 7 Add '-21' to each side of the equation. 21 + -21 + -7m = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -7m = 7 + -21 -7m = 7 + -21 Combine like terms: 7 + -21 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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