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Simplifying -252 = -5(7n + -5) + 3 Reorder the terms: -252 = -5(-5 + 7n) + 3 -252 = (-5 * -5 + 7n * -5) + 3 -252 = (25 + -35n) + 3 Reorder the terms: -252 = 25 + 3 + -35n Combine like terms: 25 + 3 = 28 -252 = 28 + -35n Solving -252 = 28 + -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 = 28 + -35n + 35n Combine like terms: -35n + 35n = 0 -252 + 35n = 28 + 0 -252 + 35n = 28 Add '252' to each side of the equation. -252 + 252 + 35n = 28 + 252 Combine like terms: -252 + 252 = 0 0 + 35n = 28 + 252 35n = 28 + 252 Combine like terms: 28 + 252 = 280 35n = 280 Divide each side by '35'. n = 8 Simplifying n = 8
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