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Simplifying 7(3n + 5) = 7(9n + 5) + 5 Reorder the terms: 7(5 + 3n) = 7(9n + 5) + 5 (5 * 7 + 3n * 7) = 7(9n + 5) + 5 (35 + 21n) = 7(9n + 5) + 5 Reorder the terms: 35 + 21n = 7(5 + 9n) + 5 35 + 21n = (5 * 7 + 9n * 7) + 5 35 + 21n = (35 + 63n) + 5 Reorder the terms: 35 + 21n = 35 + 5 + 63n Combine like terms: 35 + 5 = 40 35 + 21n = 40 + 63n Solving 35 + 21n = 40 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 35 + 21n + -63n = 40 + 63n + -63n Combine like terms: 21n + -63n = -42n 35 + -42n = 40 + 63n + -63n Combine like terms: 63n + -63n = 0 35 + -42n = 40 + 0 35 + -42n = 40 Add '-35' to each side of the equation. 35 + -35 + -42n = 40 + -35 Combine like terms: 35 + -35 = 0 0 + -42n = 40 + -35 -42n = 40 + -35 Combine like terms: 40 + -35 = 5 -42n = 5 Divide each side by '-42'. n = -0.119047619 Simplifying n = -0.119047619
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