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Simplifying 16 = 2(n + -3) + 2(2n + 2) Reorder the terms: 16 = 2(-3 + n) + 2(2n + 2) 16 = (-3 * 2 + n * 2) + 2(2n + 2) 16 = (-6 + 2n) + 2(2n + 2) Reorder the terms: 16 = -6 + 2n + 2(2 + 2n) 16 = -6 + 2n + (2 * 2 + 2n * 2) 16 = -6 + 2n + (4 + 4n) Reorder the terms: 16 = -6 + 4 + 2n + 4n Combine like terms: -6 + 4 = -2 16 = -2 + 2n + 4n Combine like terms: 2n + 4n = 6n 16 = -2 + 6n Solving 16 = -2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 16 + -6n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + -6n = -2 + 0 16 + -6n = -2 Add '-16' to each side of the equation. 16 + -16 + -6n = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -6n = -2 + -16 -6n = -2 + -16 Combine like terms: -2 + -16 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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