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Simplifying 3(3m + -2) + -5(m + -7) = 37 Reorder the terms: 3(-2 + 3m) + -5(m + -7) = 37 (-2 * 3 + 3m * 3) + -5(m + -7) = 37 (-6 + 9m) + -5(m + -7) = 37 Reorder the terms: -6 + 9m + -5(-7 + m) = 37 -6 + 9m + (-7 * -5 + m * -5) = 37 -6 + 9m + (35 + -5m) = 37 Reorder the terms: -6 + 35 + 9m + -5m = 37 Combine like terms: -6 + 35 = 29 29 + 9m + -5m = 37 Combine like terms: 9m + -5m = 4m 29 + 4m = 37 Solving 29 + 4m = 37 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4m = 37 + -29 Combine like terms: 29 + -29 = 0 0 + 4m = 37 + -29 4m = 37 + -29 Combine like terms: 37 + -29 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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