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Simplifying 4(5 + -2n) = 8(-6 + -5n) (5 * 4 + -2n * 4) = 8(-6 + -5n) (20 + -8n) = 8(-6 + -5n) 20 + -8n = (-6 * 8 + -5n * 8) 20 + -8n = (-48 + -40n) Solving 20 + -8n = -48 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 20 + -8n + 40n = -48 + -40n + 40n Combine like terms: -8n + 40n = 32n 20 + 32n = -48 + -40n + 40n Combine like terms: -40n + 40n = 0 20 + 32n = -48 + 0 20 + 32n = -48 Add '-20' to each side of the equation. 20 + -20 + 32n = -48 + -20 Combine like terms: 20 + -20 = 0 0 + 32n = -48 + -20 32n = -48 + -20 Combine like terms: -48 + -20 = -68 32n = -68 Divide each side by '32'. n = -2.125 Simplifying n = -2.125
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