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Simplifying 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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