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Simplifying -1(-1m + -2) + -7m = 4(5m + 7) Reorder the terms: -1(-2 + -1m) + -7m = 4(5m + 7) (-2 * -1 + -1m * -1) + -7m = 4(5m + 7) (2 + 1m) + -7m = 4(5m + 7) Combine like terms: 1m + -7m = -6m 2 + -6m = 4(5m + 7) Reorder the terms: 2 + -6m = 4(7 + 5m) 2 + -6m = (7 * 4 + 5m * 4) 2 + -6m = (28 + 20m) Solving 2 + -6m = 28 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 2 + -6m + -20m = 28 + 20m + -20m Combine like terms: -6m + -20m = -26m 2 + -26m = 28 + 20m + -20m Combine like terms: 20m + -20m = 0 2 + -26m = 28 + 0 2 + -26m = 28 Add '-2' to each side of the equation. 2 + -2 + -26m = 28 + -2 Combine like terms: 2 + -2 = 0 0 + -26m = 28 + -2 -26m = 28 + -2 Combine like terms: 28 + -2 = 26 -26m = 26 Divide each side by '-26'. m = -1 Simplifying m = -1
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