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Simplifying 4 + 6n = -1n + 3(n + -8) Reorder the terms: 4 + 6n = -1n + 3(-8 + n) 4 + 6n = -1n + (-8 * 3 + n * 3) 4 + 6n = -1n + (-24 + 3n) Reorder the terms: 4 + 6n = -24 + -1n + 3n Combine like terms: -1n + 3n = 2n 4 + 6n = -24 + 2n Solving 4 + 6n = -24 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + 6n + -2n = -24 + 2n + -2n Combine like terms: 6n + -2n = 4n 4 + 4n = -24 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 4n = -24 + 0 4 + 4n = -24 Add '-4' to each side of the equation. 4 + -4 + 4n = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = -24 + -4 4n = -24 + -4 Combine like terms: -24 + -4 = -28 4n = -28 Divide each side by '4'. n = -7 Simplifying n = -7
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