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