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Simplifying 159 = 5(7 + 4n) + 4 159 = (7 * 5 + 4n * 5) + 4 159 = (35 + 20n) + 4 Reorder the terms: 159 = 35 + 4 + 20n Combine like terms: 35 + 4 = 39 159 = 39 + 20n Solving 159 = 39 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 159 + -20n = 39 + 20n + -20n Combine like terms: 20n + -20n = 0 159 + -20n = 39 + 0 159 + -20n = 39 Add '-159' to each side of the equation. 159 + -159 + -20n = 39 + -159 Combine like terms: 159 + -159 = 0 0 + -20n = 39 + -159 -20n = 39 + -159 Combine like terms: 39 + -159 = -120 -20n = -120 Divide each side by '-20'. n = 6 Simplifying n = 6
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