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Simplifying 2(n + 6) = 10 + 4n Reorder the terms: 2(6 + n) = 10 + 4n (6 * 2 + n * 2) = 10 + 4n (12 + 2n) = 10 + 4n Solving 12 + 2n = 10 + 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. 12 + 2n + -4n = 10 + 4n + -4n Combine like terms: 2n + -4n = -2n 12 + -2n = 10 + 4n + -4n Combine like terms: 4n + -4n = 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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