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Simplifying 0 = 2(3n + -6) + -3(4n + -80) Reorder the terms: 0 = 2(-6 + 3n) + -3(4n + -80) 0 = (-6 * 2 + 3n * 2) + -3(4n + -80) 0 = (-12 + 6n) + -3(4n + -80) Reorder the terms: 0 = -12 + 6n + -3(-80 + 4n) 0 = -12 + 6n + (-80 * -3 + 4n * -3) 0 = -12 + 6n + (240 + -12n) Reorder the terms: 0 = -12 + 240 + 6n + -12n Combine like terms: -12 + 240 = 228 0 = 228 + 6n + -12n Combine like terms: 6n + -12n = -6n 0 = 228 + -6n Solving 0 = 228 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 0 + 6n = 228 + -6n + 6n Remove the zero: 6n = 228 + -6n + 6n Combine like terms: -6n + 6n = 0 6n = 228 + 0 6n = 228 Divide each side by '6'. n = 38 Simplifying n = 38
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