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Simplifying 6(3n + -5) = (5n + 4) + 1 Reorder the terms: 6(-5 + 3n) = (5n + 4) + 1 (-5 * 6 + 3n * 6) = (5n + 4) + 1 (-30 + 18n) = (5n + 4) + 1 Reorder the terms: -30 + 18n = (4 + 5n) + 1 Remove parenthesis around (4 + 5n) -30 + 18n = 4 + 5n + 1 Reorder the terms: -30 + 18n = 4 + 1 + 5n Combine like terms: 4 + 1 = 5 -30 + 18n = 5 + 5n Solving -30 + 18n = 5 + 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 = 5 + 5n + -5n Combine like terms: 18n + -5n = 13n -30 + 13n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 -30 + 13n = 5 + 0 -30 + 13n = 5 Add '30' to each side of the equation. -30 + 30 + 13n = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 13n = 5 + 30 13n = 5 + 30 Combine like terms: 5 + 30 = 35 13n = 35 Divide each side by '13'. n = 2.692307692 Simplifying n = 2.692307692
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