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Simplifying -6 + -4(-6n + -4) = 2n + -34 Reorder the terms: -6 + -4(-4 + -6n) = 2n + -34 -6 + (-4 * -4 + -6n * -4) = 2n + -34 -6 + (16 + 24n) = 2n + -34 Combine like terms: -6 + 16 = 10 10 + 24n = 2n + -34 Reorder the terms: 10 + 24n = -34 + 2n Solving 10 + 24n = -34 + 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. 10 + 24n + -2n = -34 + 2n + -2n Combine like terms: 24n + -2n = 22n 10 + 22n = -34 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 22n = -34 + 0 10 + 22n = -34 Add '-10' to each side of the equation. 10 + -10 + 22n = -34 + -10 Combine like terms: 10 + -10 = 0 0 + 22n = -34 + -10 22n = -34 + -10 Combine like terms: -34 + -10 = -44 22n = -44 Divide each side by '22'. n = -2 Simplifying n = -2
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