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Simplifying 4(n + -6) + -2n = -5(n + 2) Reorder the terms: 4(-6 + n) + -2n = -5(n + 2) (-6 * 4 + n * 4) + -2n = -5(n + 2) (-24 + 4n) + -2n = -5(n + 2) Combine like terms: 4n + -2n = 2n -24 + 2n = -5(n + 2) Reorder the terms: -24 + 2n = -5(2 + n) -24 + 2n = (2 * -5 + n * -5) -24 + 2n = (-10 + -5n) Solving -24 + 2n = -10 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -24 + 2n + 5n = -10 + -5n + 5n Combine like terms: 2n + 5n = 7n -24 + 7n = -10 + -5n + 5n Combine like terms: -5n + 5n = 0 -24 + 7n = -10 + 0 -24 + 7n = -10 Add '24' to each side of the equation. -24 + 24 + 7n = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 7n = -10 + 24 7n = -10 + 24 Combine like terms: -10 + 24 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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