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Simplifying 4 + 6(7n + 6) = -5(-9n + -8) + -4 Reorder the terms: 4 + 6(6 + 7n) = -5(-9n + -8) + -4 4 + (6 * 6 + 7n * 6) = -5(-9n + -8) + -4 4 + (36 + 42n) = -5(-9n + -8) + -4 Combine like terms: 4 + 36 = 40 40 + 42n = -5(-9n + -8) + -4 Reorder the terms: 40 + 42n = -5(-8 + -9n) + -4 40 + 42n = (-8 * -5 + -9n * -5) + -4 40 + 42n = (40 + 45n) + -4 Reorder the terms: 40 + 42n = 40 + -4 + 45n Combine like terms: 40 + -4 = 36 40 + 42n = 36 + 45n Solving 40 + 42n = 36 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 40 + 42n + -45n = 36 + 45n + -45n Combine like terms: 42n + -45n = -3n 40 + -3n = 36 + 45n + -45n Combine like terms: 45n + -45n = 0 40 + -3n = 36 + 0 40 + -3n = 36 Add '-40' to each side of the equation. 40 + -40 + -3n = 36 + -40 Combine like terms: 40 + -40 = 0 0 + -3n = 36 + -40 -3n = 36 + -40 Combine like terms: 36 + -40 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333
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