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Simplifying 3(-4n + 5) = -7 + -1n Reorder the terms: 3(5 + -4n) = -7 + -1n (5 * 3 + -4n * 3) = -7 + -1n (15 + -12n) = -7 + -1n Solving 15 + -12n = -7 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 15 + -12n + n = -7 + -1n + n Combine like terms: -12n + n = -11n 15 + -11n = -7 + -1n + n Combine like terms: -1n + n = 0 15 + -11n = -7 + 0 15 + -11n = -7 Add '-15' to each side of the equation. 15 + -15 + -11n = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -11n = -7 + -15 -11n = -7 + -15 Combine like terms: -7 + -15 = -22 -11n = -22 Divide each side by '-11'. n = 2 Simplifying n = 2
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