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Simplifying 2(n + 2) + 2n = 5n + -5 Reorder the terms: 2(2 + n) + 2n = 5n + -5 (2 * 2 + n * 2) + 2n = 5n + -5 (4 + 2n) + 2n = 5n + -5 Combine like terms: 2n + 2n = 4n 4 + 4n = 5n + -5 Reorder the terms: 4 + 4n = -5 + 5n Solving 4 + 4n = -5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 4 + 4n + -5n = -5 + 5n + -5n Combine like terms: 4n + -5n = -1n 4 + -1n = -5 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + -1n = -5 + 0 4 + -1n = -5 Add '-4' to each side of the equation. 4 + -4 + -1n = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = -5 + -4 -1n = -5 + -4 Combine like terms: -5 + -4 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9
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