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Simplifying -14 + -6n = 8(n + -7) Reorder the terms: -14 + -6n = 8(-7 + n) -14 + -6n = (-7 * 8 + n * 8) -14 + -6n = (-56 + 8n) Solving -14 + -6n = -56 + 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. -14 + -6n + -8n = -56 + 8n + -8n Combine like terms: -6n + -8n = -14n -14 + -14n = -56 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + -14n = -56 + 0 -14 + -14n = -56 Add '14' to each side of the equation. -14 + 14 + -14n = -56 + 14 Combine like terms: -14 + 14 = 0 0 + -14n = -56 + 14 -14n = -56 + 14 Combine like terms: -56 + 14 = -42 -14n = -42 Divide each side by '-14'. n = 3 Simplifying n = 3
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