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Simplifying -4 + n = 4(8 + 8n) + -5 -4 + n = (8 * 4 + 8n * 4) + -5 -4 + n = (32 + 32n) + -5 Reorder the terms: -4 + n = 32 + -5 + 32n Combine like terms: 32 + -5 = 27 -4 + n = 27 + 32n Solving -4 + n = 27 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -4 + n + -32n = 27 + 32n + -32n Combine like terms: n + -32n = -31n -4 + -31n = 27 + 32n + -32n Combine like terms: 32n + -32n = 0 -4 + -31n = 27 + 0 -4 + -31n = 27 Add '4' to each side of the equation. -4 + 4 + -31n = 27 + 4 Combine like terms: -4 + 4 = 0 0 + -31n = 27 + 4 -31n = 27 + 4 Combine like terms: 27 + 4 = 31 -31n = 31 Divide each side by '-31'. n = -1 Simplifying n = -1
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