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Simplifying 5n + 8 = -2(n + 3) Reorder the terms: 8 + 5n = -2(n + 3) Reorder the terms: 8 + 5n = -2(3 + n) 8 + 5n = (3 * -2 + n * -2) 8 + 5n = (-6 + -2n) Solving 8 + 5n = -6 + -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. 8 + 5n + 2n = -6 + -2n + 2n Combine like terms: 5n + 2n = 7n 8 + 7n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 8 + 7n = -6 + 0 8 + 7n = -6 Add '-8' to each side of the equation. 8 + -8 + 7n = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = -6 + -8 7n = -6 + -8 Combine like terms: -6 + -8 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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