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Simplifying -6(n + -6) + 4(-7n + -8) = 38 Reorder the terms: -6(-6 + n) + 4(-7n + -8) = 38 (-6 * -6 + n * -6) + 4(-7n + -8) = 38 (36 + -6n) + 4(-7n + -8) = 38 Reorder the terms: 36 + -6n + 4(-8 + -7n) = 38 36 + -6n + (-8 * 4 + -7n * 4) = 38 36 + -6n + (-32 + -28n) = 38 Reorder the terms: 36 + -32 + -6n + -28n = 38 Combine like terms: 36 + -32 = 4 4 + -6n + -28n = 38 Combine like terms: -6n + -28n = -34n 4 + -34n = 38 Solving 4 + -34n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -34n = 38 + -4 Combine like terms: 4 + -4 = 0 0 + -34n = 38 + -4 -34n = 38 + -4 Combine like terms: 38 + -4 = 34 -34n = 34 Divide each side by '-34'. n = -1 Simplifying n = -1
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