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Simplifying 6(4 + -1n) + 3n = 4n + -4 (4 * 6 + -1n * 6) + 3n = 4n + -4 (24 + -6n) + 3n = 4n + -4 Combine like terms: -6n + 3n = -3n 24 + -3n = 4n + -4 Reorder the terms: 24 + -3n = -4 + 4n Solving 24 + -3n = -4 + 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 + -3n + -4n = -4 + 4n + -4n Combine like terms: -3n + -4n = -7n 24 + -7n = -4 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + -7n = -4 + 0 24 + -7n = -4 Add '-24' to each side of the equation. 24 + -24 + -7n = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -7n = -4 + -24 -7n = -4 + -24 Combine like terms: -4 + -24 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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