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Simplifying -7n + 27 = 8(n + -6) Reorder the terms: 27 + -7n = 8(n + -6) Reorder the terms: 27 + -7n = 8(-6 + n) 27 + -7n = (-6 * 8 + n * 8) 27 + -7n = (-48 + 8n) Solving 27 + -7n = -48 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 27 + -7n + -8n = -48 + 8n + -8n Combine like terms: -7n + -8n = -15n 27 + -15n = -48 + 8n + -8n Combine like terms: 8n + -8n = 0 27 + -15n = -48 + 0 27 + -15n = -48 Add '-27' to each side of the equation. 27 + -27 + -15n = -48 + -27 Combine like terms: 27 + -27 = 0 0 + -15n = -48 + -27 -15n = -48 + -27 Combine like terms: -48 + -27 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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