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Simplifying 15 + -8n = -4(1 + 4n) + -5 15 + -8n = (1 * -4 + 4n * -4) + -5 15 + -8n = (-4 + -16n) + -5 Reorder the terms: 15 + -8n = -4 + -5 + -16n Combine like terms: -4 + -5 = -9 15 + -8n = -9 + -16n Solving 15 + -8n = -9 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 15 + -8n + 16n = -9 + -16n + 16n Combine like terms: -8n + 16n = 8n 15 + 8n = -9 + -16n + 16n Combine like terms: -16n + 16n = 0 15 + 8n = -9 + 0 15 + 8n = -9 Add '-15' to each side of the equation. 15 + -15 + 8n = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 8n = -9 + -15 8n = -9 + -15 Combine like terms: -9 + -15 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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