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Simplifying 5(n + 5) = 2(n + -3) + 4 Reorder the terms: 5(5 + n) = 2(n + -3) + 4 (5 * 5 + n * 5) = 2(n + -3) + 4 (25 + 5n) = 2(n + -3) + 4 Reorder the terms: 25 + 5n = 2(-3 + n) + 4 25 + 5n = (-3 * 2 + n * 2) + 4 25 + 5n = (-6 + 2n) + 4 Reorder the terms: 25 + 5n = -6 + 4 + 2n Combine like terms: -6 + 4 = -2 25 + 5n = -2 + 2n Solving 25 + 5n = -2 + 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. 25 + 5n + -2n = -2 + 2n + -2n Combine like terms: 5n + -2n = 3n 25 + 3n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 25 + 3n = -2 + 0 25 + 3n = -2 Add '-25' to each side of the equation. 25 + -25 + 3n = -2 + -25 Combine like terms: 25 + -25 = 0 0 + 3n = -2 + -25 3n = -2 + -25 Combine like terms: -2 + -25 = -27 3n = -27 Divide each side by '3'. n = -9 Simplifying n = -9
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