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Simplifying -80 = 6(8 + -8n) + -2(-4n + 4) -80 = (8 * 6 + -8n * 6) + -2(-4n + 4) -80 = (48 + -48n) + -2(-4n + 4) Reorder the terms: -80 = 48 + -48n + -2(4 + -4n) -80 = 48 + -48n + (4 * -2 + -4n * -2) -80 = 48 + -48n + (-8 + 8n) Reorder the terms: -80 = 48 + -8 + -48n + 8n Combine like terms: 48 + -8 = 40 -80 = 40 + -48n + 8n Combine like terms: -48n + 8n = -40n -80 = 40 + -40n Solving -80 = 40 + -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. -80 + 40n = 40 + -40n + 40n Combine like terms: -40n + 40n = 0 -80 + 40n = 40 + 0 -80 + 40n = 40 Add '80' to each side of the equation. -80 + 80 + 40n = 40 + 80 Combine like terms: -80 + 80 = 0 0 + 40n = 40 + 80 40n = 40 + 80 Combine like terms: 40 + 80 = 120 40n = 120 Divide each side by '40'. n = 3 Simplifying n = 3
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