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