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