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Simplifying 5(8 + 6n) = 7 + -3n (8 * 5 + 6n * 5) = 7 + -3n (40 + 30n) = 7 + -3n Solving 40 + 30n = 7 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 40 + 30n + 3n = 7 + -3n + 3n Combine like terms: 30n + 3n = 33n 40 + 33n = 7 + -3n + 3n Combine like terms: -3n + 3n = 0 40 + 33n = 7 + 0 40 + 33n = 7 Add '-40' to each side of the equation. 40 + -40 + 33n = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 33n = 7 + -40 33n = 7 + -40 Combine like terms: 7 + -40 = -33 33n = -33 Divide each side by '33'. n = -1 Simplifying n = -1
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