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Simplifying 5 + 3(n + 1) = 2n Reorder the terms: 5 + 3(1 + n) = 2n 5 + (1 * 3 + n * 3) = 2n 5 + (3 + 3n) = 2n Combine like terms: 5 + 3 = 8 8 + 3n = 2n Solving 8 + 3n = 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. 8 + 3n + -2n = 2n + -2n Combine like terms: 3n + -2n = 1n 8 + 1n = 2n + -2n Combine like terms: 2n + -2n = 0 8 + 1n = 0 Add '-8' to each side of the equation. 8 + -8 + 1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 0 + -8 1n = 0 + -8 Combine like terms: 0 + -8 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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