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Simplifying 24 + 2n = -2 + -5(n + 6) Reorder the terms: 24 + 2n = -2 + -5(6 + n) 24 + 2n = -2 + (6 * -5 + n * -5) 24 + 2n = -2 + (-30 + -5n) Combine like terms: -2 + -30 = -32 24 + 2n = -32 + -5n Solving 24 + 2n = -32 + -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 = -32 + -5n + 5n Combine like terms: 2n + 5n = 7n 24 + 7n = -32 + -5n + 5n Combine like terms: -5n + 5n = 0 24 + 7n = -32 + 0 24 + 7n = -32 Add '-24' to each side of the equation. 24 + -24 + 7n = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 7n = -32 + -24 7n = -32 + -24 Combine like terms: -32 + -24 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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