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Simplifying -14 + -1n = -8(7n + 8) + -5 Reorder the terms: -14 + -1n = -8(8 + 7n) + -5 -14 + -1n = (8 * -8 + 7n * -8) + -5 -14 + -1n = (-64 + -56n) + -5 Reorder the terms: -14 + -1n = -64 + -5 + -56n Combine like terms: -64 + -5 = -69 -14 + -1n = -69 + -56n Solving -14 + -1n = -69 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -14 + -1n + 56n = -69 + -56n + 56n Combine like terms: -1n + 56n = 55n -14 + 55n = -69 + -56n + 56n Combine like terms: -56n + 56n = 0 -14 + 55n = -69 + 0 -14 + 55n = -69 Add '14' to each side of the equation. -14 + 14 + 55n = -69 + 14 Combine like terms: -14 + 14 = 0 0 + 55n = -69 + 14 55n = -69 + 14 Combine like terms: -69 + 14 = -55 55n = -55 Divide each side by '55'. n = -1 Simplifying n = -1
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