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Simplifying 4(n + -6) = 3(n + 1) Reorder the terms: 4(-6 + n) = 3(n + 1) (-6 * 4 + n * 4) = 3(n + 1) (-24 + 4n) = 3(n + 1) Reorder the terms: -24 + 4n = 3(1 + n) -24 + 4n = (1 * 3 + n * 3) -24 + 4n = (3 + 3n) Solving -24 + 4n = 3 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -24 + 4n + -3n = 3 + 3n + -3n Combine like terms: 4n + -3n = 1n -24 + 1n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 -24 + 1n = 3 + 0 -24 + 1n = 3 Add '24' to each side of the equation. -24 + 24 + 1n = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 1n = 3 + 24 1n = 3 + 24 Combine like terms: 3 + 24 = 27 1n = 27 Divide each side by '1'. n = 27 Simplifying n = 27
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