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Simplifying 24 + 7n + 10 + -3 = n + 7 Reorder the terms: 24 + 10 + -3 + 7n = n + 7 Combine like terms: 24 + 10 = 34 34 + -3 + 7n = n + 7 Combine like terms: 34 + -3 = 31 31 + 7n = n + 7 Reorder the terms: 31 + 7n = 7 + n Solving 31 + 7n = 7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 31 + 7n + -1n = 7 + n + -1n Combine like terms: 7n + -1n = 6n 31 + 6n = 7 + n + -1n Combine like terms: n + -1n = 0 31 + 6n = 7 + 0 31 + 6n = 7 Add '-31' to each side of the equation. 31 + -31 + 6n = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 6n = 7 + -31 6n = 7 + -31 Combine like terms: 7 + -31 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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