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Simplifying 6n + -8(n + -7) = 6(-6n + -2) Reorder the terms: 6n + -8(-7 + n) = 6(-6n + -2) 6n + (-7 * -8 + n * -8) = 6(-6n + -2) 6n + (56 + -8n) = 6(-6n + -2) Reorder the terms: 56 + 6n + -8n = 6(-6n + -2) Combine like terms: 6n + -8n = -2n 56 + -2n = 6(-6n + -2) Reorder the terms: 56 + -2n = 6(-2 + -6n) 56 + -2n = (-2 * 6 + -6n * 6) 56 + -2n = (-12 + -36n) Solving 56 + -2n = -12 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. 56 + -2n + 36n = -12 + -36n + 36n Combine like terms: -2n + 36n = 34n 56 + 34n = -12 + -36n + 36n Combine like terms: -36n + 36n = 0 56 + 34n = -12 + 0 56 + 34n = -12 Add '-56' to each side of the equation. 56 + -56 + 34n = -12 + -56 Combine like terms: 56 + -56 = 0 0 + 34n = -12 + -56 34n = -12 + -56 Combine like terms: -12 + -56 = -68 34n = -68 Divide each side by '34'. n = -2 Simplifying n = -2
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