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Simplifying 10 + n + 2(n + 10) + n + 10 = 130 Reorder the terms: 10 + n + 2(10 + n) + n + 10 = 130 10 + n + (10 * 2 + n * 2) + n + 10 = 130 10 + n + (20 + 2n) + n + 10 = 130 Reorder the terms: 10 + 20 + 10 + n + 2n + n = 130 Combine like terms: 10 + 20 = 30 30 + 10 + n + 2n + n = 130 Combine like terms: 30 + 10 = 40 40 + n + 2n + n = 130 Combine like terms: n + 2n = 3n 40 + 3n + n = 130 Combine like terms: 3n + n = 4n 40 + 4n = 130 Solving 40 + 4n = 130 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 4n = 130 + -40 Combine like terms: 40 + -40 = 0 0 + 4n = 130 + -40 4n = 130 + -40 Combine like terms: 130 + -40 = 90 4n = 90 Divide each side by '4'. n = 22.5 Simplifying n = 22.5
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