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Simplifying (3m + -2) + -1(5m + -3) = 19 Reorder the terms: (-2 + 3m) + -1(5m + -3) = 19 Remove parenthesis around (-2 + 3m) -2 + 3m + -1(5m + -3) = 19 Reorder the terms: -2 + 3m + -1(-3 + 5m) = 19 -2 + 3m + (-3 * -1 + 5m * -1) = 19 -2 + 3m + (3 + -5m) = 19 Reorder the terms: -2 + 3 + 3m + -5m = 19 Combine like terms: -2 + 3 = 1 1 + 3m + -5m = 19 Combine like terms: 3m + -5m = -2m 1 + -2m = 19 Solving 1 + -2m = 19 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2m = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 19 + -1 -2m = 19 + -1 Combine like terms: 19 + -1 = 18 -2m = 18 Divide each side by '-2'. m = -9 Simplifying m = -9
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