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Simplifying -8n + 14 = -3(4n + 6) Reorder the terms: 14 + -8n = -3(4n + 6) Reorder the terms: 14 + -8n = -3(6 + 4n) 14 + -8n = (6 * -3 + 4n * -3) 14 + -8n = (-18 + -12n) Solving 14 + -8n = -18 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 14 + -8n + 12n = -18 + -12n + 12n Combine like terms: -8n + 12n = 4n 14 + 4n = -18 + -12n + 12n Combine like terms: -12n + 12n = 0 14 + 4n = -18 + 0 14 + 4n = -18 Add '-14' to each side of the equation. 14 + -14 + 4n = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 4n = -18 + -14 4n = -18 + -14 Combine like terms: -18 + -14 = -32 4n = -32 Divide each side by '4'. n = -8 Simplifying n = -8
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