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Simplifying -5(3m + -7) + 2n = 0 Reorder the terms: -5(-7 + 3m) + 2n = 0 (-7 * -5 + 3m * -5) + 2n = 0 (35 + -15m) + 2n = 0 Solving 35 + -15m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -15m + -35 + 2n = 0 + -35 Reorder the terms: 35 + -35 + -15m + 2n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -15m + 2n = 0 + -35 -15m + 2n = 0 + -35 Combine like terms: 0 + -35 = -35 -15m + 2n = -35 Add '-2n' to each side of the equation. -15m + 2n + -2n = -35 + -2n Combine like terms: 2n + -2n = 0 -15m + 0 = -35 + -2n -15m = -35 + -2n Divide each side by '-15'. m = 2.333333333 + 0.1333333333n Simplifying m = 2.333333333 + 0.1333333333n
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