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Simplifying 7n + -24 = 2(8 + n) Reorder the terms: -24 + 7n = 2(8 + n) -24 + 7n = (8 * 2 + n * 2) -24 + 7n = (16 + 2n) Solving -24 + 7n = 16 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -24 + 7n + -2n = 16 + 2n + -2n Combine like terms: 7n + -2n = 5n -24 + 5n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -24 + 5n = 16 + 0 -24 + 5n = 16 Add '24' to each side of the equation. -24 + 24 + 5n = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 5n = 16 + 24 5n = 16 + 24 Combine like terms: 16 + 24 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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