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Simplifying -5 + 5(5n + -5) = -7(3n + 5) + -8 Reorder the terms: -5 + 5(-5 + 5n) = -7(3n + 5) + -8 -5 + (-5 * 5 + 5n * 5) = -7(3n + 5) + -8 -5 + (-25 + 25n) = -7(3n + 5) + -8 Combine like terms: -5 + -25 = -30 -30 + 25n = -7(3n + 5) + -8 Reorder the terms: -30 + 25n = -7(5 + 3n) + -8 -30 + 25n = (5 * -7 + 3n * -7) + -8 -30 + 25n = (-35 + -21n) + -8 Reorder the terms: -30 + 25n = -35 + -8 + -21n Combine like terms: -35 + -8 = -43 -30 + 25n = -43 + -21n Solving -30 + 25n = -43 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -30 + 25n + 21n = -43 + -21n + 21n Combine like terms: 25n + 21n = 46n -30 + 46n = -43 + -21n + 21n Combine like terms: -21n + 21n = 0 -30 + 46n = -43 + 0 -30 + 46n = -43 Add '30' to each side of the equation. -30 + 30 + 46n = -43 + 30 Combine like terms: -30 + 30 = 0 0 + 46n = -43 + 30 46n = -43 + 30 Combine like terms: -43 + 30 = -13 46n = -13 Divide each side by '46'. n = -0.2826086957 Simplifying n = -0.2826086957
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