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Simplifying -72 = -1(5 + -5n) + -6(8n + 4) -72 = (5 * -1 + -5n * -1) + -6(8n + 4) -72 = (-5 + 5n) + -6(8n + 4) Reorder the terms: -72 = -5 + 5n + -6(4 + 8n) -72 = -5 + 5n + (4 * -6 + 8n * -6) -72 = -5 + 5n + (-24 + -48n) Reorder the terms: -72 = -5 + -24 + 5n + -48n Combine like terms: -5 + -24 = -29 -72 = -29 + 5n + -48n Combine like terms: 5n + -48n = -43n -72 = -29 + -43n Solving -72 = -29 + -43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43n' to each side of the equation. -72 + 43n = -29 + -43n + 43n Combine like terms: -43n + 43n = 0 -72 + 43n = -29 + 0 -72 + 43n = -29 Add '72' to each side of the equation. -72 + 72 + 43n = -29 + 72 Combine like terms: -72 + 72 = 0 0 + 43n = -29 + 72 43n = -29 + 72 Combine like terms: -29 + 72 = 43 43n = 43 Divide each side by '43'. n = 1 Simplifying n = 1
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