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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 = 44n 17 + 44n = -15 + -12n + 12n Combine like terms: -12n + 12n = 0 17 + 44n = -15 + 0 17 + 44n = -15 Add '-17' to each side of the equation. 17 + -17 + 44n = -15 + -17 Combine like terms: 17 + -17 = 0 0 + 44n = -15 + -17 44n = -15 + -17 Combine like terms: -15 + -17 = -32 44n = -32 Divide each side by '44'. n = -0.7272727273 Simplifying n = -0.7272727273
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