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Simplifying 7n + 10 = 2n + 35 Reorder the terms: 10 + 7n = 2n + 35 Reorder the terms: 10 + 7n = 35 + 2n Solving 10 + 7n = 35 + 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. 10 + 7n + -2n = 35 + 2n + -2n Combine like terms: 7n + -2n = 5n 10 + 5n = 35 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 5n = 35 + 0 10 + 5n = 35 Add '-10' to each side of the equation. 10 + -10 + 5n = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 5n = 35 + -10 5n = 35 + -10 Combine like terms: 35 + -10 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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