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Simplifying 5(3n + -1) = (2n + 6) + 2 Reorder the terms: 5(-1 + 3n) = (2n + 6) + 2 (-1 * 5 + 3n * 5) = (2n + 6) + 2 (-5 + 15n) = (2n + 6) + 2 Reorder the terms: -5 + 15n = (6 + 2n) + 2 Remove parenthesis around (6 + 2n) -5 + 15n = 6 + 2n + 2 Reorder the terms: -5 + 15n = 6 + 2 + 2n Combine like terms: 6 + 2 = 8 -5 + 15n = 8 + 2n Solving -5 + 15n = 8 + 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. -5 + 15n + -2n = 8 + 2n + -2n Combine like terms: 15n + -2n = 13n -5 + 13n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + 13n = 8 + 0 -5 + 13n = 8 Add '5' to each side of the equation. -5 + 5 + 13n = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 13n = 8 + 5 13n = 8 + 5 Combine like terms: 8 + 5 = 13 13n = 13 Divide each side by '13'. n = 1 Simplifying n = 1
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