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Simplifying -6(-5n + 4) = 38 + -1n Reorder the terms: -6(4 + -5n) = 38 + -1n (4 * -6 + -5n * -6) = 38 + -1n (-24 + 30n) = 38 + -1n Solving -24 + 30n = 38 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -24 + 30n + n = 38 + -1n + n Combine like terms: 30n + n = 31n -24 + 31n = 38 + -1n + n Combine like terms: -1n + n = 0 -24 + 31n = 38 + 0 -24 + 31n = 38 Add '24' to each side of the equation. -24 + 24 + 31n = 38 + 24 Combine like terms: -24 + 24 = 0 0 + 31n = 38 + 24 31n = 38 + 24 Combine like terms: 38 + 24 = 62 31n = 62 Divide each side by '31'. n = 2 Simplifying n = 2
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