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Simplifying 15 = -1(8n + 5) + -4(6n + 3) Reorder the terms: 15 = -1(5 + 8n) + -4(6n + 3) 15 = (5 * -1 + 8n * -1) + -4(6n + 3) 15 = (-5 + -8n) + -4(6n + 3) Reorder the terms: 15 = -5 + -8n + -4(3 + 6n) 15 = -5 + -8n + (3 * -4 + 6n * -4) 15 = -5 + -8n + (-12 + -24n) Reorder the terms: 15 = -5 + -12 + -8n + -24n Combine like terms: -5 + -12 = -17 15 = -17 + -8n + -24n Combine like terms: -8n + -24n = -32n 15 = -17 + -32n Solving 15 = -17 + -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. 15 + 32n = -17 + -32n + 32n Combine like terms: -32n + 32n = 0 15 + 32n = -17 + 0 15 + 32n = -17 Add '-15' to each side of the equation. 15 + -15 + 32n = -17 + -15 Combine like terms: 15 + -15 = 0 0 + 32n = -17 + -15 32n = -17 + -15 Combine like terms: -17 + -15 = -32 32n = -32 Divide each side by '32'. n = -1 Simplifying n = -1
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