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Simplifying 5(3m + -9n + -7) = 0 Reorder the terms: 5(-7 + 3m + -9n) = 0 (-7 * 5 + 3m * 5 + -9n * 5) = 0 (-35 + 15m + -45n) = 0 Solving -35 + 15m + -45n = 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 + -45n = 0 + 35 Reorder the terms: -35 + 35 + 15m + -45n = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 15m + -45n = 0 + 35 15m + -45n = 0 + 35 Combine like terms: 0 + 35 = 35 15m + -45n = 35 Add '45n' to each side of the equation. 15m + -45n + 45n = 35 + 45n Combine like terms: -45n + 45n = 0 15m + 0 = 35 + 45n 15m = 35 + 45n Divide each side by '15'. m = 2.333333333 + 3n Simplifying m = 2.333333333 + 3n
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