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Simplifying 5n + 5 = 33 + -2n Reorder the terms: 5 + 5n = 33 + -2n Solving 5 + 5n = 33 + -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. 5 + 5n + 2n = 33 + -2n + 2n Combine like terms: 5n + 2n = 7n 5 + 7n = 33 + -2n + 2n Combine like terms: -2n + 2n = 0 5 + 7n = 33 + 0 5 + 7n = 33 Add '-5' to each side of the equation. 5 + -5 + 7n = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 33 + -5 7n = 33 + -5 Combine like terms: 33 + -5 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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