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Simplifying 4(n + -6) = 9n + 1 Reorder the terms: 4(-6 + n) = 9n + 1 (-6 * 4 + n * 4) = 9n + 1 (-24 + 4n) = 9n + 1 Reorder the terms: -24 + 4n = 1 + 9n Solving -24 + 4n = 1 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -24 + 4n + -9n = 1 + 9n + -9n Combine like terms: 4n + -9n = -5n -24 + -5n = 1 + 9n + -9n Combine like terms: 9n + -9n = 0 -24 + -5n = 1 + 0 -24 + -5n = 1 Add '24' to each side of the equation. -24 + 24 + -5n = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -5n = 1 + 24 -5n = 1 + 24 Combine like terms: 1 + 24 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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