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Simplifying 2n + -14 = -8(7 + 5n) 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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