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Simplifying 135n + 500 = 35(n + 5) Reorder the terms: 500 + 135n = 35(n + 5) Reorder the terms: 500 + 135n = 35(5 + n) 500 + 135n = (5 * 35 + n * 35) 500 + 135n = (175 + 35n) Solving 500 + 135n = 175 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 500 + 135n + -35n = 175 + 35n + -35n Combine like terms: 135n + -35n = 100n 500 + 100n = 175 + 35n + -35n Combine like terms: 35n + -35n = 0 500 + 100n = 175 + 0 500 + 100n = 175 Add '-500' to each side of the equation. 500 + -500 + 100n = 175 + -500 Combine like terms: 500 + -500 = 0 0 + 100n = 175 + -500 100n = 175 + -500 Combine like terms: 175 + -500 = -325 100n = -325 Divide each side by '100'. n = -3.25 Simplifying n = -3.25
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