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Simplifying (30 + -4n) + -1(15 + -3n) = 0 Remove parenthesis around (30 + -4n) 30 + -4n + -1(15 + -3n) = 0 30 + -4n + (15 * -1 + -3n * -1) = 0 30 + -4n + (-15 + 3n) = 0 Reorder the terms: 30 + -15 + -4n + 3n = 0 Combine like terms: 30 + -15 = 15 15 + -4n + 3n = 0 Combine like terms: -4n + 3n = -1n 15 + -1n = 0 Solving 15 + -1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 0 + -15 -1n = 0 + -15 Combine like terms: 0 + -15 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15
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