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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 = 19m 34 + 19m = -2 + -14m + 14m Combine like terms: -14m + 14m = 0 34 + 19m = -2 + 0 34 + 19m = -2 Add '-34' to each side of the equation. 34 + -34 + 19m = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 19m = -2 + -34 19m = -2 + -34 Combine like terms: -2 + -34 = -36 19m = -36 Divide each side by '19'. m = -1.894736842 Simplifying m = -1.894736842
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