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Simplifying 252 = 7(1 + 5n) 252 = (1 * 7 + 5n * 7) 252 = (7 + 35n) Solving 252 = 7 + 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. 252 + -35n = 7 + 35n + -35n Combine like terms: 35n + -35n = 0 252 + -35n = 7 + 0 252 + -35n = 7 Add '-252' to each side of the equation. 252 + -252 + -35n = 7 + -252 Combine like terms: 252 + -252 = 0 0 + -35n = 7 + -252 -35n = 7 + -252 Combine like terms: 7 + -252 = -245 -35n = -245 Divide each side by '-35'. n = 7 Simplifying n = 7
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