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Simplifying 30 + -1n = 20 + 3(n + 2) Reorder the terms: 30 + -1n = 20 + 3(2 + n) 30 + -1n = 20 + (2 * 3 + n * 3) 30 + -1n = 20 + (6 + 3n) Combine like terms: 20 + 6 = 26 30 + -1n = 26 + 3n Solving 30 + -1n = 26 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 30 + -1n + -3n = 26 + 3n + -3n Combine like terms: -1n + -3n = -4n 30 + -4n = 26 + 3n + -3n Combine like terms: 3n + -3n = 0 30 + -4n = 26 + 0 30 + -4n = 26 Add '-30' to each side of the equation. 30 + -30 + -4n = 26 + -30 Combine like terms: 30 + -30 = 0 0 + -4n = 26 + -30 -4n = 26 + -30 Combine like terms: 26 + -30 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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