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Simplifying -2 + -8n = 8(-7n + -6) + 2n Reorder the terms: -2 + -8n = 8(-6 + -7n) + 2n -2 + -8n = (-6 * 8 + -7n * 8) + 2n -2 + -8n = (-48 + -56n) + 2n Combine like terms: -56n + 2n = -54n -2 + -8n = -48 + -54n Solving -2 + -8n = -48 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. -2 + -8n + 54n = -48 + -54n + 54n Combine like terms: -8n + 54n = 46n -2 + 46n = -48 + -54n + 54n Combine like terms: -54n + 54n = 0 -2 + 46n = -48 + 0 -2 + 46n = -48 Add '2' to each side of the equation. -2 + 2 + 46n = -48 + 2 Combine like terms: -2 + 2 = 0 0 + 46n = -48 + 2 46n = -48 + 2 Combine like terms: -48 + 2 = -46 46n = -46 Divide each side by '46'. n = -1 Simplifying n = -1
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