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Simplifying 5(3n + -4) = (2n + 8) + 3 Reorder the terms: 5(-4 + 3n) = (2n + 8) + 3 (-4 * 5 + 3n * 5) = (2n + 8) + 3 (-20 + 15n) = (2n + 8) + 3 Reorder the terms: -20 + 15n = (8 + 2n) + 3 Remove parenthesis around (8 + 2n) -20 + 15n = 8 + 2n + 3 Reorder the terms: -20 + 15n = 8 + 3 + 2n Combine like terms: 8 + 3 = 11 -20 + 15n = 11 + 2n Solving -20 + 15n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -20 + 15n + -2n = 11 + 2n + -2n Combine like terms: 15n + -2n = 13n -20 + 13n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -20 + 13n = 11 + 0 -20 + 13n = 11 Add '20' to each side of the equation. -20 + 20 + 13n = 11 + 20 Combine like terms: -20 + 20 = 0 0 + 13n = 11 + 20 13n = 11 + 20 Combine like terms: 11 + 20 = 31 13n = 31 Divide each side by '13'. n = 2.384615385 Simplifying n = 2.384615385
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