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Simplifying 6(3n + -5) = (5n + 3) + 5 Reorder the terms: 6(-5 + 3n) = (5n + 3) + 5 (-5 * 6 + 3n * 6) = (5n + 3) + 5 (-30 + 18n) = (5n + 3) + 5 Reorder the terms: -30 + 18n = (3 + 5n) + 5 Remove parenthesis around (3 + 5n) -30 + 18n = 3 + 5n + 5 Reorder the terms: -30 + 18n = 3 + 5 + 5n Combine like terms: 3 + 5 = 8 -30 + 18n = 8 + 5n Solving -30 + 18n = 8 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -30 + 18n + -5n = 8 + 5n + -5n Combine like terms: 18n + -5n = 13n -30 + 13n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -30 + 13n = 8 + 0 -30 + 13n = 8 Add '30' to each side of the equation. -30 + 30 + 13n = 8 + 30 Combine like terms: -30 + 30 = 0 0 + 13n = 8 + 30 13n = 8 + 30 Combine like terms: 8 + 30 = 38 13n = 38 Divide each side by '13'. n = 2.923076923 Simplifying n = 2.923076923
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