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Simplifying 116 = 4(5 + -3n) 116 = (5 * 4 + -3n * 4) 116 = (20 + -12n) Solving 116 = 20 + -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. 116 + 12n = 20 + -12n + 12n Combine like terms: -12n + 12n = 0 116 + 12n = 20 + 0 116 + 12n = 20 Add '-116' to each side of the equation. 116 + -116 + 12n = 20 + -116 Combine like terms: 116 + -116 = 0 0 + 12n = 20 + -116 12n = 20 + -116 Combine like terms: 20 + -116 = -96 12n = -96 Divide each side by '12'. n = -8 Simplifying n = -8
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