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Simplifying 4n + 7 = 2n + 21 Reorder the terms: 7 + 4n = 2n + 21 Reorder the terms: 7 + 4n = 21 + 2n Solving 7 + 4n = 21 + 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. 7 + 4n + -2n = 21 + 2n + -2n Combine like terms: 4n + -2n = 2n 7 + 2n = 21 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + 2n = 21 + 0 7 + 2n = 21 Add '-7' to each side of the equation. 7 + -7 + 2n = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 21 + -7 2n = 21 + -7 Combine like terms: 21 + -7 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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