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Simplifying 6n + 40 = 8(-7 + 3n) + 6n Reorder the terms: 40 + 6n = 8(-7 + 3n) + 6n 40 + 6n = (-7 * 8 + 3n * 8) + 6n 40 + 6n = (-56 + 24n) + 6n Combine like terms: 24n + 6n = 30n 40 + 6n = -56 + 30n Solving 40 + 6n = -56 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 40 + 6n + -30n = -56 + 30n + -30n Combine like terms: 6n + -30n = -24n 40 + -24n = -56 + 30n + -30n Combine like terms: 30n + -30n = 0 40 + -24n = -56 + 0 40 + -24n = -56 Add '-40' to each side of the equation. 40 + -40 + -24n = -56 + -40 Combine like terms: 40 + -40 = 0 0 + -24n = -56 + -40 -24n = -56 + -40 Combine like terms: -56 + -40 = -96 -24n = -96 Divide each side by '-24'. n = 4 Simplifying n = 4
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