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Simplifying 4(5n + 1) = 8(3n + -5) Reorder the terms: 4(1 + 5n) = 8(3n + -5) (1 * 4 + 5n * 4) = 8(3n + -5) (4 + 20n) = 8(3n + -5) Reorder the terms: 4 + 20n = 8(-5 + 3n) 4 + 20n = (-5 * 8 + 3n * 8) 4 + 20n = (-40 + 24n) Solving 4 + 20n = -40 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 4 + 20n + -24n = -40 + 24n + -24n Combine like terms: 20n + -24n = -4n 4 + -4n = -40 + 24n + -24n Combine like terms: 24n + -24n = 0 4 + -4n = -40 + 0 4 + -4n = -40 Add '-4' to each side of the equation. 4 + -4 + -4n = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = -40 + -4 -4n = -40 + -4 Combine like terms: -40 + -4 = -44 -4n = -44 Divide each side by '-4'. n = 11 Simplifying n = 11
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