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Simplifying 9(-5n + -8) = -6(8n + 2) Reorder the terms: 9(-8 + -5n) = -6(8n + 2) (-8 * 9 + -5n * 9) = -6(8n + 2) (-72 + -45n) = -6(8n + 2) Reorder the terms: -72 + -45n = -6(2 + 8n) -72 + -45n = (2 * -6 + 8n * -6) -72 + -45n = (-12 + -48n) Solving -72 + -45n = -12 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -72 + -45n + 48n = -12 + -48n + 48n Combine like terms: -45n + 48n = 3n -72 + 3n = -12 + -48n + 48n Combine like terms: -48n + 48n = 0 -72 + 3n = -12 + 0 -72 + 3n = -12 Add '72' to each side of the equation. -72 + 72 + 3n = -12 + 72 Combine like terms: -72 + 72 = 0 0 + 3n = -12 + 72 3n = -12 + 72 Combine like terms: -12 + 72 = 60 3n = 60 Divide each side by '3'. n = 20 Simplifying n = 20
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