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Simplifying 4(2 + 3n) = -1(n + -8) (2 * 4 + 3n * 4) = -1(n + -8) (8 + 12n) = -1(n + -8) Reorder the terms: 8 + 12n = -1(-8 + n) 8 + 12n = (-8 * -1 + n * -1) 8 + 12n = (8 + -1n) Add '-8' to each side of the equation. 8 + -8 + 12n = 8 + -8 + -1n Combine like terms: 8 + -8 = 0 0 + 12n = 8 + -8 + -1n 12n = 8 + -8 + -1n Combine like terms: 8 + -8 = 0 12n = 0 + -1n 12n = -1n Solving 12n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 12n + n = -1n + n Combine like terms: 12n + n = 13n 13n = -1n + n Combine like terms: -1n + n = 0 13n = 0 Divide each side by '13'. n = 0 Simplifying n = 0
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