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Simplifying 92 = 3n + 2 + -2(n + 5) Reorder the terms: 92 = 3n + 2 + -2(5 + n) 92 = 3n + 2 + (5 * -2 + n * -2) 92 = 3n + 2 + (-10 + -2n) Reorder the terms: 92 = 2 + -10 + 3n + -2n Combine like terms: 2 + -10 = -8 92 = -8 + 3n + -2n Combine like terms: 3n + -2n = 1n 92 = -8 + 1n Solving 92 = -8 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 92 + -1n = -8 + 1n + -1n Combine like terms: 1n + -1n = 0 92 + -1n = -8 + 0 92 + -1n = -8 Add '-92' to each side of the equation. 92 + -92 + -1n = -8 + -92 Combine like terms: 92 + -92 = 0 0 + -1n = -8 + -92 -1n = -8 + -92 Combine like terms: -8 + -92 = -100 -1n = -100 Divide each side by '-1'. n = 100 Simplifying n = 100
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