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Simplifying 5(3n + -3) = (2n + -3) + 6 Reorder the terms: 5(-3 + 3n) = (2n + -3) + 6 (-3 * 5 + 3n * 5) = (2n + -3) + 6 (-15 + 15n) = (2n + -3) + 6 Reorder the terms: -15 + 15n = (-3 + 2n) + 6 Remove parenthesis around (-3 + 2n) -15 + 15n = -3 + 2n + 6 Reorder the terms: -15 + 15n = -3 + 6 + 2n Combine like terms: -3 + 6 = 3 -15 + 15n = 3 + 2n Solving -15 + 15n = 3 + 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. -15 + 15n + -2n = 3 + 2n + -2n Combine like terms: 15n + -2n = 13n -15 + 13n = 3 + 2n + -2n Combine like terms: 2n + -2n = 0 -15 + 13n = 3 + 0 -15 + 13n = 3 Add '15' to each side of the equation. -15 + 15 + 13n = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 13n = 3 + 15 13n = 3 + 15 Combine like terms: 3 + 15 = 18 13n = 18 Divide each side by '13'. n = 1.384615385 Simplifying n = 1.384615385
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