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Simplifying -4 + 6(-6 + -5n) = 38 + -4n -4 + (-6 * 6 + -5n * 6) = 38 + -4n -4 + (-36 + -30n) = 38 + -4n Combine like terms: -4 + -36 = -40 -40 + -30n = 38 + -4n Solving -40 + -30n = 38 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -40 + -30n + 4n = 38 + -4n + 4n Combine like terms: -30n + 4n = -26n -40 + -26n = 38 + -4n + 4n Combine like terms: -4n + 4n = 0 -40 + -26n = 38 + 0 -40 + -26n = 38 Add '40' to each side of the equation. -40 + 40 + -26n = 38 + 40 Combine like terms: -40 + 40 = 0 0 + -26n = 38 + 40 -26n = 38 + 40 Combine like terms: 38 + 40 = 78 -26n = 78 Divide each side by '-26'. n = -3 Simplifying n = -3
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