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Simplifying 5m + 34 = -2(1 + -7m) Reorder the terms: 34 + 5m = -2(1 + -7m) 34 + 5m = (1 * -2 + -7m * -2) 34 + 5m = (-2 + 14m) Solving 34 + 5m = -2 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 34 + 5m + -14m = -2 + 14m + -14m Combine like terms: 5m + -14m = -9m 34 + -9m = -2 + 14m + -14m Combine like terms: 14m + -14m = 0 34 + -9m = -2 + 0 34 + -9m = -2 Add '-34' to each side of the equation. 34 + -34 + -9m = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9m = -2 + -34 -9m = -2 + -34 Combine like terms: -2 + -34 = -36 -9m = -36 Divide each side by '-9'. m = 4 Simplifying m = 4
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