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Simplifying -3 + -4(8n + -5) = 4(-3n + -4) + 1 Reorder the terms: -3 + -4(-5 + 8n) = 4(-3n + -4) + 1 -3 + (-5 * -4 + 8n * -4) = 4(-3n + -4) + 1 -3 + (20 + -32n) = 4(-3n + -4) + 1 Combine like terms: -3 + 20 = 17 17 + -32n = 4(-3n + -4) + 1 Reorder the terms: 17 + -32n = 4(-4 + -3n) + 1 17 + -32n = (-4 * 4 + -3n * 4) + 1 17 + -32n = (-16 + -12n) + 1 Reorder the terms: 17 + -32n = -16 + 1 + -12n Combine like terms: -16 + 1 = -15 17 + -32n = -15 + -12n Solving 17 + -32n = -15 + -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. 17 + -32n + 12n = -15 + -12n + 12n Combine like terms: -32n + 12n = -20n 17 + -20n = -15 + -12n + 12n Combine like terms: -12n + 12n = 0 17 + -20n = -15 + 0 17 + -20n = -15 Add '-17' to each side of the equation. 17 + -17 + -20n = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -20n = -15 + -17 -20n = -15 + -17 Combine like terms: -15 + -17 = -32 -20n = -32 Divide each side by '-20'. n = 1.6 Simplifying n = 1.6
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