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Simplifying -3(4n + 5) = -5(n + -3) + -1 Reorder the terms: -3(5 + 4n) = -5(n + -3) + -1 (5 * -3 + 4n * -3) = -5(n + -3) + -1 (-15 + -12n) = -5(n + -3) + -1 Reorder the terms: -15 + -12n = -5(-3 + n) + -1 -15 + -12n = (-3 * -5 + n * -5) + -1 -15 + -12n = (15 + -5n) + -1 Reorder the terms: -15 + -12n = 15 + -1 + -5n Combine like terms: 15 + -1 = 14 -15 + -12n = 14 + -5n Solving -15 + -12n = 14 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -15 + -12n + 5n = 14 + -5n + 5n Combine like terms: -12n + 5n = -7n -15 + -7n = 14 + -5n + 5n Combine like terms: -5n + 5n = 0 -15 + -7n = 14 + 0 -15 + -7n = 14 Add '15' to each side of the equation. -15 + 15 + -7n = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -7n = 14 + 15 -7n = 14 + 15 Combine like terms: 14 + 15 = 29 -7n = 29 Divide each side by '-7'. n = -4.142857143 Simplifying n = -4.142857143
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