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Simplifying -3n + 8 = -8(3 + 4n) + -3n Reorder the terms: 8 + -3n = -8(3 + 4n) + -3n 8 + -3n = (3 * -8 + 4n * -8) + -3n 8 + -3n = (-24 + -32n) + -3n Combine like terms: -32n + -3n = -35n 8 + -3n = -24 + -35n Solving 8 + -3n = -24 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 8 + -3n + 35n = -24 + -35n + 35n Combine like terms: -3n + 35n = 32n 8 + 32n = -24 + -35n + 35n Combine like terms: -35n + 35n = 0 8 + 32n = -24 + 0 8 + 32n = -24 Add '-8' to each side of the equation. 8 + -8 + 32n = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 32n = -24 + -8 32n = -24 + -8 Combine like terms: -24 + -8 = -32 32n = -32 Divide each side by '32'. n = -1 Simplifying n = -1
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