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Simplifying n + 8(-4n + 4) = -14 + -8n Reorder the terms: n + 8(4 + -4n) = -14 + -8n n + (4 * 8 + -4n * 8) = -14 + -8n n + (32 + -32n) = -14 + -8n Reorder the terms: 32 + n + -32n = -14 + -8n Combine like terms: n + -32n = -31n 32 + -31n = -14 + -8n Solving 32 + -31n = -14 + -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. 32 + -31n + 8n = -14 + -8n + 8n Combine like terms: -31n + 8n = -23n 32 + -23n = -14 + -8n + 8n Combine like terms: -8n + 8n = 0 32 + -23n = -14 + 0 32 + -23n = -14 Add '-32' to each side of the equation. 32 + -32 + -23n = -14 + -32 Combine like terms: 32 + -32 = 0 0 + -23n = -14 + -32 -23n = -14 + -32 Combine like terms: -14 + -32 = -46 -23n = -46 Divide each side by '-23'. n = 2 Simplifying n = 2
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