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Simplifying 11 = 4(-4 + -2n) + -5(1 + -8n) 11 = (-4 * 4 + -2n * 4) + -5(1 + -8n) 11 = (-16 + -8n) + -5(1 + -8n) 11 = -16 + -8n + (1 * -5 + -8n * -5) 11 = -16 + -8n + (-5 + 40n) Reorder the terms: 11 = -16 + -5 + -8n + 40n Combine like terms: -16 + -5 = -21 11 = -21 + -8n + 40n Combine like terms: -8n + 40n = 32n 11 = -21 + 32n Solving 11 = -21 + 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. 11 + -32n = -21 + 32n + -32n Combine like terms: 32n + -32n = 0 11 + -32n = -21 + 0 11 + -32n = -21 Add '-11' to each side of the equation. 11 + -11 + -32n = -21 + -11 Combine like terms: 11 + -11 = 0 0 + -32n = -21 + -11 -32n = -21 + -11 Combine like terms: -21 + -11 = -32 -32n = -32 Divide each side by '-32'. n = 1 Simplifying n = 1
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