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Simplifying 4n + 10 = 3(5n + 7) Reorder the terms: 10 + 4n = 3(5n + 7) Reorder the terms: 10 + 4n = 3(7 + 5n) 10 + 4n = (7 * 3 + 5n * 3) 10 + 4n = (21 + 15n) Solving 10 + 4n = 21 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 10 + 4n + -15n = 21 + 15n + -15n Combine like terms: 4n + -15n = -11n 10 + -11n = 21 + 15n + -15n Combine like terms: 15n + -15n = 0 10 + -11n = 21 + 0 10 + -11n = 21 Add '-10' to each side of the equation. 10 + -10 + -11n = 21 + -10 Combine like terms: 10 + -10 = 0 0 + -11n = 21 + -10 -11n = 21 + -10 Combine like terms: 21 + -10 = 11 -11n = 11 Divide each side by '-11'. n = -1 Simplifying n = -1
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