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Simplifying 7(n + -5) = 2(n + 8) Reorder the terms: 7(-5 + n) = 2(n + 8) (-5 * 7 + n * 7) = 2(n + 8) (-35 + 7n) = 2(n + 8) Reorder the terms: -35 + 7n = 2(8 + n) -35 + 7n = (8 * 2 + n * 2) -35 + 7n = (16 + 2n) Solving -35 + 7n = 16 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -35 + 7n + -2n = 16 + 2n + -2n Combine like terms: 7n + -2n = 5n -35 + 5n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -35 + 5n = 16 + 0 -35 + 5n = 16 Add '35' to each side of the equation. -35 + 35 + 5n = 16 + 35 Combine like terms: -35 + 35 = 0 0 + 5n = 16 + 35 5n = 16 + 35 Combine like terms: 16 + 35 = 51 5n = 51 Divide each side by '5'. n = 10.2 Simplifying n = 10.2
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