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Simplifying 45 = -3(4n + 1) Reorder the terms: 45 = -3(1 + 4n) 45 = (1 * -3 + 4n * -3) 45 = (-3 + -12n) Solving 45 = -3 + -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. 45 + 12n = -3 + -12n + 12n Combine like terms: -12n + 12n = 0 45 + 12n = -3 + 0 45 + 12n = -3 Add '-45' to each side of the equation. 45 + -45 + 12n = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 12n = -3 + -45 12n = -3 + -45 Combine like terms: -3 + -45 = -48 12n = -48 Divide each side by '12'. n = -4 Simplifying n = -4
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