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Simplifying -76 = -1 + -3(4n + 5) Reorder the terms: -76 = -1 + -3(5 + 4n) -76 = -1 + (5 * -3 + 4n * -3) -76 = -1 + (-15 + -12n) Combine like terms: -1 + -15 = -16 -76 = -16 + -12n Solving -76 = -16 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -76 + 12n = -16 + -12n + 12n Combine like terms: -12n + 12n = 0 -76 + 12n = -16 + 0 -76 + 12n = -16 Add '76' to each side of the equation. -76 + 76 + 12n = -16 + 76 Combine like terms: -76 + 76 = 0 0 + 12n = -16 + 76 12n = -16 + 76 Combine like terms: -16 + 76 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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