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Simplifying n + 8 = 8(n + -4) + 4(n + -4) Reorder the terms: 8 + n = 8(n + -4) + 4(n + -4) Reorder the terms: 8 + n = 8(-4 + n) + 4(n + -4) 8 + n = (-4 * 8 + n * 8) + 4(n + -4) 8 + n = (-32 + 8n) + 4(n + -4) Reorder the terms: 8 + n = -32 + 8n + 4(-4 + n) 8 + n = -32 + 8n + (-4 * 4 + n * 4) 8 + n = -32 + 8n + (-16 + 4n) Reorder the terms: 8 + n = -32 + -16 + 8n + 4n Combine like terms: -32 + -16 = -48 8 + n = -48 + 8n + 4n Combine like terms: 8n + 4n = 12n 8 + n = -48 + 12n Solving 8 + n = -48 + 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. 8 + n + -12n = -48 + 12n + -12n Combine like terms: n + -12n = -11n 8 + -11n = -48 + 12n + -12n Combine like terms: 12n + -12n = 0 8 + -11n = -48 + 0 8 + -11n = -48 Add '-8' to each side of the equation. 8 + -8 + -11n = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -11n = -48 + -8 -11n = -48 + -8 Combine like terms: -48 + -8 = -56 -11n = -56 Divide each side by '-11'. n = 5.090909091 Simplifying n = 5.090909091
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