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Simplifying 10 = -6(8 + 4n) + 2(2n + -1) 10 = (8 * -6 + 4n * -6) + 2(2n + -1) 10 = (-48 + -24n) + 2(2n + -1) Reorder the terms: 10 = -48 + -24n + 2(-1 + 2n) 10 = -48 + -24n + (-1 * 2 + 2n * 2) 10 = -48 + -24n + (-2 + 4n) Reorder the terms: 10 = -48 + -2 + -24n + 4n Combine like terms: -48 + -2 = -50 10 = -50 + -24n + 4n Combine like terms: -24n + 4n = -20n 10 = -50 + -20n Solving 10 = -50 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 10 + 20n = -50 + -20n + 20n Combine like terms: -20n + 20n = 0 10 + 20n = -50 + 0 10 + 20n = -50 Add '-10' to each side of the equation. 10 + -10 + 20n = -50 + -10 Combine like terms: 10 + -10 = 0 0 + 20n = -50 + -10 20n = -50 + -10 Combine like terms: -50 + -10 = -60 20n = -60 Divide each side by '20'. n = -3 Simplifying n = -3
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