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Simplifying -3(4n + 5) = -6(n + -3) + -1 Reorder the terms: -3(5 + 4n) = -6(n + -3) + -1 (5 * -3 + 4n * -3) = -6(n + -3) + -1 (-15 + -12n) = -6(n + -3) + -1 Reorder the terms: -15 + -12n = -6(-3 + n) + -1 -15 + -12n = (-3 * -6 + n * -6) + -1 -15 + -12n = (18 + -6n) + -1 Reorder the terms: -15 + -12n = 18 + -1 + -6n Combine like terms: 18 + -1 = 17 -15 + -12n = 17 + -6n Solving -15 + -12n = 17 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -15 + -12n + 6n = 17 + -6n + 6n Combine like terms: -12n + 6n = -6n -15 + -6n = 17 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + -6n = 17 + 0 -15 + -6n = 17 Add '15' to each side of the equation. -15 + 15 + -6n = 17 + 15 Combine like terms: -15 + 15 = 0 0 + -6n = 17 + 15 -6n = 17 + 15 Combine like terms: 17 + 15 = 32 -6n = 32 Divide each side by '-6'. n = -5.333333333 Simplifying n = -5.333333333
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