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Simplifying 2(n + 8) + 2 = 7n + -7 Reorder the terms: 2(8 + n) + 2 = 7n + -7 (8 * 2 + n * 2) + 2 = 7n + -7 (16 + 2n) + 2 = 7n + -7 Reorder the terms: 16 + 2 + 2n = 7n + -7 Combine like terms: 16 + 2 = 18 18 + 2n = 7n + -7 Reorder the terms: 18 + 2n = -7 + 7n Solving 18 + 2n = -7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 18 + 2n + -7n = -7 + 7n + -7n Combine like terms: 2n + -7n = -5n 18 + -5n = -7 + 7n + -7n Combine like terms: 7n + -7n = 0 18 + -5n = -7 + 0 18 + -5n = -7 Add '-18' to each side of the equation. 18 + -18 + -5n = -7 + -18 Combine like terms: 18 + -18 = 0 0 + -5n = -7 + -18 -5n = -7 + -18 Combine like terms: -7 + -18 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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