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Simplifying 4(n + -6) = 6(n + 2) Reorder the terms: 4(-6 + n) = 6(n + 2) (-6 * 4 + n * 4) = 6(n + 2) (-24 + 4n) = 6(n + 2) Reorder the terms: -24 + 4n = 6(2 + n) -24 + 4n = (2 * 6 + n * 6) -24 + 4n = (12 + 6n) Solving -24 + 4n = 12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -24 + 4n + -6n = 12 + 6n + -6n Combine like terms: 4n + -6n = -2n -24 + -2n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -24 + -2n = 12 + 0 -24 + -2n = 12 Add '24' to each side of the equation. -24 + 24 + -2n = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2n = 12 + 24 -2n = 12 + 24 Combine like terms: 12 + 24 = 36 -2n = 36 Divide each side by '-2'. n = -18 Simplifying n = -18
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