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Simplifying 7(n + -5) + -1(9 + -1) = 0 Reorder the terms: 7(-5 + n) + -1(9 + -1) = 0 (-5 * 7 + n * 7) + -1(9 + -1) = 0 (-35 + 7n) + -1(9 + -1) = 0 Combine like terms: 9 + -1 = 8 -35 + 7n + -1(8) = 0 Multiply -1 * 8 -35 + 7n + -8 = 0 Reorder the terms: -35 + -8 + 7n = 0 Combine like terms: -35 + -8 = -43 -43 + 7n = 0 Solving -43 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 7n = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 7n = 0 + 43 7n = 0 + 43 Combine like terms: 0 + 43 = 43 7n = 43 Divide each side by '7'. n = 6.142857143 Simplifying n = 6.142857143
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