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Simplifying 8 + 2n = 2(2n + 1) + -1n Reorder the terms: 8 + 2n = 2(1 + 2n) + -1n 8 + 2n = (1 * 2 + 2n * 2) + -1n 8 + 2n = (2 + 4n) + -1n Combine like terms: 4n + -1n = 3n 8 + 2n = 2 + 3n Solving 8 + 2n = 2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 8 + 2n + -3n = 2 + 3n + -3n Combine like terms: 2n + -3n = -1n 8 + -1n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -1n = 2 + 0 8 + -1n = 2 Add '-8' to each side of the equation. 8 + -8 + -1n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 2 + -8 -1n = 2 + -8 Combine like terms: 2 + -8 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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