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Simplifying -5(-7n + 74) + 7(-8 + -2n) = 29 Reorder the terms: -5(74 + -7n) + 7(-8 + -2n) = 29 (74 * -5 + -7n * -5) + 7(-8 + -2n) = 29 (-370 + 35n) + 7(-8 + -2n) = 29 -370 + 35n + (-8 * 7 + -2n * 7) = 29 -370 + 35n + (-56 + -14n) = 29 Reorder the terms: -370 + -56 + 35n + -14n = 29 Combine like terms: -370 + -56 = -426 -426 + 35n + -14n = 29 Combine like terms: 35n + -14n = 21n -426 + 21n = 29 Solving -426 + 21n = 29 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '426' to each side of the equation. -426 + 426 + 21n = 29 + 426 Combine like terms: -426 + 426 = 0 0 + 21n = 29 + 426 21n = 29 + 426 Combine like terms: 29 + 426 = 455 21n = 455 Divide each side by '21'. n = 21.66666667 Simplifying n = 21.66666667
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