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Simplifying 6(-1n + 4) + n = 15 + 4n Reorder the terms: 6(4 + -1n) + n = 15 + 4n (4 * 6 + -1n * 6) + n = 15 + 4n (24 + -6n) + n = 15 + 4n Combine like terms: -6n + n = -5n 24 + -5n = 15 + 4n Solving 24 + -5n = 15 + 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. 24 + -5n + -4n = 15 + 4n + -4n Combine like terms: -5n + -4n = -9n 24 + -9n = 15 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + -9n = 15 + 0 24 + -9n = 15 Add '-24' to each side of the equation. 24 + -24 + -9n = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -9n = 15 + -24 -9n = 15 + -24 Combine like terms: 15 + -24 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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