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Simplifying 30 + -1n = 3(n + 6) Reorder the terms: 30 + -1n = 3(6 + n) 30 + -1n = (6 * 3 + n * 3) 30 + -1n = (18 + 3n) Solving 30 + -1n = 18 + 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 = 18 + 3n + -3n Combine like terms: -1n + -3n = -4n 30 + -4n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 30 + -4n = 18 + 0 30 + -4n = 18 Add '-30' to each side of the equation. 30 + -30 + -4n = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -4n = 18 + -30 -4n = 18 + -30 Combine like terms: 18 + -30 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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