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Simplifying 5(6m + 4n + -7) + 56 = 0 Reorder the terms: 5(-7 + 6m + 4n) + 56 = 0 (-7 * 5 + 6m * 5 + 4n * 5) + 56 = 0 (-35 + 30m + 20n) + 56 = 0 Reorder the terms: -35 + 56 + 30m + 20n = 0 Combine like terms: -35 + 56 = 21 21 + 30m + 20n = 0 Solving 21 + 30m + 20n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 30m + -21 + 20n = 0 + -21 Reorder the terms: 21 + -21 + 30m + 20n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 30m + 20n = 0 + -21 30m + 20n = 0 + -21 Combine like terms: 0 + -21 = -21 30m + 20n = -21 Add '-20n' to each side of the equation. 30m + 20n + -20n = -21 + -20n Combine like terms: 20n + -20n = 0 30m + 0 = -21 + -20n 30m = -21 + -20n Divide each side by '30'. m = -0.7 + -0.6666666667n Simplifying m = -0.7 + -0.6666666667n
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