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Simplifying 5(n + 7) = 7(n + -5) Reorder the terms: 5(7 + n) = 7(n + -5) (7 * 5 + n * 5) = 7(n + -5) (35 + 5n) = 7(n + -5) Reorder the terms: 35 + 5n = 7(-5 + n) 35 + 5n = (-5 * 7 + n * 7) 35 + 5n = (-35 + 7n) Solving 35 + 5n = -35 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 35 + 5n + -7n = -35 + 7n + -7n Combine like terms: 5n + -7n = -2n 35 + -2n = -35 + 7n + -7n Combine like terms: 7n + -7n = 0 35 + -2n = -35 + 0 35 + -2n = -35 Add '-35' to each side of the equation. 35 + -35 + -2n = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -2n = -35 + -35 -2n = -35 + -35 Combine like terms: -35 + -35 = -70 -2n = -70 Divide each side by '-2'. n = 35 Simplifying n = 35
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