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Simplifying 5n + 39 = -7 + 7(6n + -4) Reorder the terms: 39 + 5n = -7 + 7(6n + -4) Reorder the terms: 39 + 5n = -7 + 7(-4 + 6n) 39 + 5n = -7 + (-4 * 7 + 6n * 7) 39 + 5n = -7 + (-28 + 42n) Combine like terms: -7 + -28 = -35 39 + 5n = -35 + 42n Solving 39 + 5n = -35 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 39 + 5n + -42n = -35 + 42n + -42n Combine like terms: 5n + -42n = -37n 39 + -37n = -35 + 42n + -42n Combine like terms: 42n + -42n = 0 39 + -37n = -35 + 0 39 + -37n = -35 Add '-39' to each side of the equation. 39 + -39 + -37n = -35 + -39 Combine like terms: 39 + -39 = 0 0 + -37n = -35 + -39 -37n = -35 + -39 Combine like terms: -35 + -39 = -74 -37n = -74 Divide each side by '-37'. n = 2 Simplifying n = 2
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