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Simplifying 7 + -5(-6n + -8) = 14 + -3n Reorder the terms: 7 + -5(-8 + -6n) = 14 + -3n 7 + (-8 * -5 + -6n * -5) = 14 + -3n 7 + (40 + 30n) = 14 + -3n Combine like terms: 7 + 40 = 47 47 + 30n = 14 + -3n Solving 47 + 30n = 14 + -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. 47 + 30n + 3n = 14 + -3n + 3n Combine like terms: 30n + 3n = 33n 47 + 33n = 14 + -3n + 3n Combine like terms: -3n + 3n = 0 47 + 33n = 14 + 0 47 + 33n = 14 Add '-47' to each side of the equation. 47 + -47 + 33n = 14 + -47 Combine like terms: 47 + -47 = 0 0 + 33n = 14 + -47 33n = 14 + -47 Combine like terms: 14 + -47 = -33 33n = -33 Divide each side by '33'. n = -1 Simplifying n = -1
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