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Simplifying 4(n + 12) + 5n = -3(4 + n) Reorder the terms: 4(12 + n) + 5n = -3(4 + n) (12 * 4 + n * 4) + 5n = -3(4 + n) (48 + 4n) + 5n = -3(4 + n) Combine like terms: 4n + 5n = 9n 48 + 9n = -3(4 + n) 48 + 9n = (4 * -3 + n * -3) 48 + 9n = (-12 + -3n) Solving 48 + 9n = -12 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 48 + 9n + 3n = -12 + -3n + 3n Combine like terms: 9n + 3n = 12n 48 + 12n = -12 + -3n + 3n Combine like terms: -3n + 3n = 0 48 + 12n = -12 + 0 48 + 12n = -12 Add '-48' to each side of the equation. 48 + -48 + 12n = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 12n = -12 + -48 12n = -12 + -48 Combine like terms: -12 + -48 = -60 12n = -60 Divide each side by '12'. n = -5 Simplifying n = -5
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