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Simplifying -4 + 6(-4n + -7) = 38 + -3n Reorder the terms: -4 + 6(-7 + -4n) = 38 + -3n -4 + (-7 * 6 + -4n * 6) = 38 + -3n -4 + (-42 + -24n) = 38 + -3n Combine like terms: -4 + -42 = -46 -46 + -24n = 38 + -3n Solving -46 + -24n = 38 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -46 + -24n + 3n = 38 + -3n + 3n Combine like terms: -24n + 3n = -21n -46 + -21n = 38 + -3n + 3n Combine like terms: -3n + 3n = 0 -46 + -21n = 38 + 0 -46 + -21n = 38 Add '46' to each side of the equation. -46 + 46 + -21n = 38 + 46 Combine like terms: -46 + 46 = 0 0 + -21n = 38 + 46 -21n = 38 + 46 Combine like terms: 38 + 46 = 84 -21n = 84 Divide each side by '-21'. n = -4 Simplifying n = -4
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