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Simplifying 7 + 5n = 21 + -2n Solving 7 + 5n = 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 + 5n + 2n = 21 + -2n + 2n Combine like terms: 5n + 2n = 7n 7 + 7n = 21 + -2n + 2n Combine like terms: -2n + 2n = 0 7 + 7n = 21 + 0 7 + 7n = 21 Add '-7' to each side of the equation. 7 + -7 + 7n = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = 21 + -7 7n = 21 + -7 Combine like terms: 21 + -7 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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