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Simplifying 7(n + -5) = (n + 8) Reorder the terms: 7(-5 + n) = (n + 8) (-5 * 7 + n * 7) = (n + 8) (-35 + 7n) = (n + 8) Reorder the terms: -35 + 7n = (8 + n) Remove parenthesis around (8 + n) -35 + 7n = 8 + n Solving -35 + 7n = 8 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -35 + 7n + -1n = 8 + n + -1n Combine like terms: 7n + -1n = 6n -35 + 6n = 8 + n + -1n Combine like terms: n + -1n = 0 -35 + 6n = 8 + 0 -35 + 6n = 8 Add '35' to each side of the equation. -35 + 35 + 6n = 8 + 35 Combine like terms: -35 + 35 = 0 0 + 6n = 8 + 35 6n = 8 + 35 Combine like terms: 8 + 35 = 43 6n = 43 Divide each side by '6'. n = 7.166666667 Simplifying n = 7.166666667
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