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Simplifying n + 3 = 2(n + 5) Reorder the terms: 3 + n = 2(n + 5) Reorder the terms: 3 + n = 2(5 + n) 3 + n = (5 * 2 + n * 2) 3 + n = (10 + 2n) Solving 3 + n = 10 + 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. 3 + n + -2n = 10 + 2n + -2n Combine like terms: n + -2n = -1n 3 + -1n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + -1n = 10 + 0 3 + -1n = 10 Add '-3' to each side of the equation. 3 + -3 + -1n = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 10 + -3 -1n = 10 + -3 Combine like terms: 10 + -3 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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