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Simplifying 3 + 4(1 + -3n) = -89 3 + (1 * 4 + -3n * 4) = -89 3 + (4 + -12n) = -89 Combine like terms: 3 + 4 = 7 7 + -12n = -89 Solving 7 + -12n = -89 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12n = -89 + -7 Combine like terms: 7 + -7 = 0 0 + -12n = -89 + -7 -12n = -89 + -7 Combine like terms: -89 + -7 = -96 -12n = -96 Divide each side by '-12'. n = 8 Simplifying n = 8
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