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Simplifying -5(-7 + n) + -7n = 0 (-7 * -5 + n * -5) + -7n = 0 (35 + -5n) + -7n = 0 Combine like terms: -5n + -7n = -12n 35 + -12n = 0 Solving 35 + -12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -12n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -12n = 0 + -35 -12n = 0 + -35 Combine like terms: 0 + -35 = -35 -12n = -35 Divide each side by '-12'. n = 2.916666667 Simplifying n = 2.916666667
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