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Simplifying 10 = 3(n + 4) + -2(1 + 6n) Reorder the terms: 10 = 3(4 + n) + -2(1 + 6n) 10 = (4 * 3 + n * 3) + -2(1 + 6n) 10 = (12 + 3n) + -2(1 + 6n) 10 = 12 + 3n + (1 * -2 + 6n * -2) 10 = 12 + 3n + (-2 + -12n) Reorder the terms: 10 = 12 + -2 + 3n + -12n Combine like terms: 12 + -2 = 10 10 = 10 + 3n + -12n Combine like terms: 3n + -12n = -9n 10 = 10 + -9n Add '-10' to each side of the equation. 10 + -10 = 10 + -10 + -9n Combine like terms: 10 + -10 = 0 0 = 10 + -10 + -9n Combine like terms: 10 + -10 = 0 0 = 0 + -9n 0 = -9n Solving 0 = -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 0 + 9n = -9n + 9n Remove the zero: 9n = -9n + 9n Combine like terms: -9n + 9n = 0 9n = 0 Divide each side by '9'. n = 0 Simplifying n = 0
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