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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 = 48n -20 + 48n = -48 + -40n + 40n Combine like terms: -40n + 40n = 0 -20 + 48n = -48 + 0 -20 + 48n = -48 Add '20' to each side of the equation. -20 + 20 + 48n = -48 + 20 Combine like terms: -20 + 20 = 0 0 + 48n = -48 + 20 48n = -48 + 20 Combine like terms: -48 + 20 = -28 48n = -28 Divide each side by '48'. n = -0.5833333333 Simplifying n = -0.5833333333
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