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Simplifying 4n + -8(n + -3) = 10 + -6n Reorder the terms: 4n + -8(-3 + n) = 10 + -6n 4n + (-3 * -8 + n * -8) = 10 + -6n 4n + (24 + -8n) = 10 + -6n Reorder the terms: 24 + 4n + -8n = 10 + -6n Combine like terms: 4n + -8n = -4n 24 + -4n = 10 + -6n Solving 24 + -4n = 10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 24 + -4n + 6n = 10 + -6n + 6n Combine like terms: -4n + 6n = 2n 24 + 2n = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 24 + 2n = 10 + 0 24 + 2n = 10 Add '-24' to each side of the equation. 24 + -24 + 2n = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 2n = 10 + -24 2n = 10 + -24 Combine like terms: 10 + -24 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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