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Simplifying -2 + 2(n + 8) = -8(5n + -7) Reorder the terms: -2 + 2(8 + n) = -8(5n + -7) -2 + (8 * 2 + n * 2) = -8(5n + -7) -2 + (16 + 2n) = -8(5n + -7) Combine like terms: -2 + 16 = 14 14 + 2n = -8(5n + -7) Reorder the terms: 14 + 2n = -8(-7 + 5n) 14 + 2n = (-7 * -8 + 5n * -8) 14 + 2n = (56 + -40n) Solving 14 + 2n = 56 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 14 + 2n + 40n = 56 + -40n + 40n Combine like terms: 2n + 40n = 42n 14 + 42n = 56 + -40n + 40n Combine like terms: -40n + 40n = 0 14 + 42n = 56 + 0 14 + 42n = 56 Add '-14' to each side of the equation. 14 + -14 + 42n = 56 + -14 Combine like terms: 14 + -14 = 0 0 + 42n = 56 + -14 42n = 56 + -14 Combine like terms: 56 + -14 = 42 42n = 42 Divide each side by '42'. n = 1 Simplifying n = 1
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