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Simplifying 2n + 8 = 96 + 2(2n + 20) Reorder the terms: 8 + 2n = 96 + 2(2n + 20) Reorder the terms: 8 + 2n = 96 + 2(20 + 2n) 8 + 2n = 96 + (20 * 2 + 2n * 2) 8 + 2n = 96 + (40 + 4n) Combine like terms: 96 + 40 = 136 8 + 2n = 136 + 4n Solving 8 + 2n = 136 + 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. 8 + 2n + -4n = 136 + 4n + -4n Combine like terms: 2n + -4n = -2n 8 + -2n = 136 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -2n = 136 + 0 8 + -2n = 136 Add '-8' to each side of the equation. 8 + -8 + -2n = 136 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 136 + -8 -2n = 136 + -8 Combine like terms: 136 + -8 = 128 -2n = 128 Divide each side by '-2'. n = -64 Simplifying n = -64
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