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Simplifying 20 + 2n = 8(5n + -7) Reorder the terms: 20 + 2n = 8(-7 + 5n) 20 + 2n = (-7 * 8 + 5n * 8) 20 + 2n = (-56 + 40n) Solving 20 + 2n = -56 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 20 + 2n + -40n = -56 + 40n + -40n Combine like terms: 2n + -40n = -38n 20 + -38n = -56 + 40n + -40n Combine like terms: 40n + -40n = 0 20 + -38n = -56 + 0 20 + -38n = -56 Add '-20' to each side of the equation. 20 + -20 + -38n = -56 + -20 Combine like terms: 20 + -20 = 0 0 + -38n = -56 + -20 -38n = -56 + -20 Combine like terms: -56 + -20 = -76 -38n = -76 Divide each side by '-38'. n = 2 Simplifying n = 2
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