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Simplifying 5(n + 2) * 8 = 2n Reorder the terms: 5(2 + n) * 8 = 2n Reorder the terms for easier multiplication: 5 * 8(2 + n) = 2n Multiply 5 * 8 40(2 + n) = 2n (2 * 40 + n * 40) = 2n (80 + 40n) = 2n Solving 80 + 40n = 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. 80 + 40n + -2n = 2n + -2n Combine like terms: 40n + -2n = 38n 80 + 38n = 2n + -2n Combine like terms: 2n + -2n = 0 80 + 38n = 0 Add '-80' to each side of the equation. 80 + -80 + 38n = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 38n = 0 + -80 38n = 0 + -80 Combine like terms: 0 + -80 = -80 38n = -80 Divide each side by '38'. n = -2.105263158 Simplifying n = -2.105263158
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