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