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Simplifying -6 + -8(6n + -2) = n + -9 Reorder the terms: -6 + -8(-2 + 6n) = n + -9 -6 + (-2 * -8 + 6n * -8) = n + -9 -6 + (16 + -48n) = n + -9 Combine like terms: -6 + 16 = 10 10 + -48n = n + -9 Reorder the terms: 10 + -48n = -9 + n Solving 10 + -48n = -9 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + -48n + -1n = -9 + n + -1n Combine like terms: -48n + -1n = -49n 10 + -49n = -9 + n + -1n Combine like terms: n + -1n = 0 10 + -49n = -9 + 0 10 + -49n = -9 Add '-10' to each side of the equation. 10 + -10 + -49n = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -49n = -9 + -10 -49n = -9 + -10 Combine like terms: -9 + -10 = -19 -49n = -19 Divide each side by '-49'. n = 0.387755102 Simplifying n = 0.387755102
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