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Simplifying 5 + 4n = -3 + -4(2 + 3n) 5 + 4n = -3 + (2 * -4 + 3n * -4) 5 + 4n = -3 + (-8 + -12n) Combine like terms: -3 + -8 = -11 5 + 4n = -11 + -12n Solving 5 + 4n = -11 + -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. 5 + 4n + 12n = -11 + -12n + 12n Combine like terms: 4n + 12n = 16n 5 + 16n = -11 + -12n + 12n Combine like terms: -12n + 12n = 0 5 + 16n = -11 + 0 5 + 16n = -11 Add '-5' to each side of the equation. 5 + -5 + 16n = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 16n = -11 + -5 16n = -11 + -5 Combine like terms: -11 + -5 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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