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Simplifying -6(1 + -5n) + 3n = 38 + 1n (1 * -6 + -5n * -6) + 3n = 38 + 1n (-6 + 30n) + 3n = 38 + 1n Combine like terms: 30n + 3n = 33n -6 + 33n = 38 + 1n Solving -6 + 33n = 38 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -6 + 33n + -1n = 38 + 1n + -1n Combine like terms: 33n + -1n = 32n -6 + 32n = 38 + 1n + -1n Combine like terms: 1n + -1n = 0 -6 + 32n = 38 + 0 -6 + 32n = 38 Add '6' to each side of the equation. -6 + 6 + 32n = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 32n = 38 + 6 32n = 38 + 6 Combine like terms: 38 + 6 = 44 32n = 44 Divide each side by '32'. n = 1.375 Simplifying n = 1.375
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