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Simplifying 0 = 5(n + 2) + -3(n + 2) Reorder the terms: 0 = 5(2 + n) + -3(n + 2) 0 = (2 * 5 + n * 5) + -3(n + 2) 0 = (10 + 5n) + -3(n + 2) Reorder the terms: 0 = 10 + 5n + -3(2 + n) 0 = 10 + 5n + (2 * -3 + n * -3) 0 = 10 + 5n + (-6 + -3n) Reorder the terms: 0 = 10 + -6 + 5n + -3n Combine like terms: 10 + -6 = 4 0 = 4 + 5n + -3n Combine like terms: 5n + -3n = 2n 0 = 4 + 2n Solving 0 = 4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 0 + -2n = 4 + 2n + -2n Remove the zero: -2n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 -2n = 4 + 0 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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