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Simplifying 4n + -11 = 8(n + -4) + -7 Reorder the terms: -11 + 4n = 8(n + -4) + -7 Reorder the terms: -11 + 4n = 8(-4 + n) + -7 -11 + 4n = (-4 * 8 + n * 8) + -7 -11 + 4n = (-32 + 8n) + -7 Reorder the terms: -11 + 4n = -32 + -7 + 8n Combine like terms: -32 + -7 = -39 -11 + 4n = -39 + 8n Solving -11 + 4n = -39 + 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. -11 + 4n + -8n = -39 + 8n + -8n Combine like terms: 4n + -8n = -4n -11 + -4n = -39 + 8n + -8n Combine like terms: 8n + -8n = 0 -11 + -4n = -39 + 0 -11 + -4n = -39 Add '11' to each side of the equation. -11 + 11 + -4n = -39 + 11 Combine like terms: -11 + 11 = 0 0 + -4n = -39 + 11 -4n = -39 + 11 Combine like terms: -39 + 11 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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