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Simplifying -133 = 4n + -5(-7 + 5n) -133 = 4n + (-7 * -5 + 5n * -5) -133 = 4n + (35 + -25n) Reorder the terms: -133 = 35 + 4n + -25n Combine like terms: 4n + -25n = -21n -133 = 35 + -21n Solving -133 = 35 + -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. -133 + 21n = 35 + -21n + 21n Combine like terms: -21n + 21n = 0 -133 + 21n = 35 + 0 -133 + 21n = 35 Add '133' to each side of the equation. -133 + 133 + 21n = 35 + 133 Combine like terms: -133 + 133 = 0 0 + 21n = 35 + 133 21n = 35 + 133 Combine like terms: 35 + 133 = 168 21n = 168 Divide each side by '21'. n = 8 Simplifying n = 8
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