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Simplifying 5(x + 2) + -1(3n + 6) = 0 Reorder the terms: 5(2 + x) + -1(3n + 6) = 0 (2 * 5 + x * 5) + -1(3n + 6) = 0 (10 + 5x) + -1(3n + 6) = 0 Reorder the terms: 10 + 5x + -1(6 + 3n) = 0 10 + 5x + (6 * -1 + 3n * -1) = 0 10 + 5x + (-6 + -3n) = 0 Reorder the terms: 10 + -6 + -3n + 5x = 0 Combine like terms: 10 + -6 = 4 4 + -3n + 5x = 0 Solving 4 + -3n + 5x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3n + -4 + 5x = 0 + -4 Reorder the terms: 4 + -4 + -3n + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n + 5x = 0 + -4 -3n + 5x = 0 + -4 Combine like terms: 0 + -4 = -4 -3n + 5x = -4 Add '-5x' to each side of the equation. -3n + 5x + -5x = -4 + -5x Combine like terms: 5x + -5x = 0 -3n + 0 = -4 + -5x -3n = -4 + -5x Divide each side by '-3'. n = 1.333333333 + 1.666666667x Simplifying n = 1.333333333 + 1.666666667x
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