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Simplifying (-2m + 5) + -1(3m + 1) = 34 Reorder the terms: (5 + -2m) + -1(3m + 1) = 34 Remove parenthesis around (5 + -2m) 5 + -2m + -1(3m + 1) = 34 Reorder the terms: 5 + -2m + -1(1 + 3m) = 34 5 + -2m + (1 * -1 + 3m * -1) = 34 5 + -2m + (-1 + -3m) = 34 Reorder the terms: 5 + -1 + -2m + -3m = 34 Combine like terms: 5 + -1 = 4 4 + -2m + -3m = 34 Combine like terms: -2m + -3m = -5m 4 + -5m = 34 Solving 4 + -5m = 34 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5m = 34 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 34 + -4 -5m = 34 + -4 Combine like terms: 34 + -4 = 30 -5m = 30 Divide each side by '-5'. m = -6 Simplifying m = -6
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