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Simplifying 7(6n + 5) = -3(3n + -7) Reorder the terms: 7(5 + 6n) = -3(3n + -7) (5 * 7 + 6n * 7) = -3(3n + -7) (35 + 42n) = -3(3n + -7) Reorder the terms: 35 + 42n = -3(-7 + 3n) 35 + 42n = (-7 * -3 + 3n * -3) 35 + 42n = (21 + -9n) Solving 35 + 42n = 21 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 35 + 42n + 9n = 21 + -9n + 9n Combine like terms: 42n + 9n = 51n 35 + 51n = 21 + -9n + 9n Combine like terms: -9n + 9n = 0 35 + 51n = 21 + 0 35 + 51n = 21 Add '-35' to each side of the equation. 35 + -35 + 51n = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 51n = 21 + -35 51n = 21 + -35 Combine like terms: 21 + -35 = -14 51n = -14 Divide each side by '51'. n = -0.2745098039 Simplifying n = -0.2745098039
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