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Simplifying 6(2n + -5) = (5n + 7) + 7 Reorder the terms: 6(-5 + 2n) = (5n + 7) + 7 (-5 * 6 + 2n * 6) = (5n + 7) + 7 (-30 + 12n) = (5n + 7) + 7 Reorder the terms: -30 + 12n = (7 + 5n) + 7 Remove parenthesis around (7 + 5n) -30 + 12n = 7 + 5n + 7 Reorder the terms: -30 + 12n = 7 + 7 + 5n Combine like terms: 7 + 7 = 14 -30 + 12n = 14 + 5n Solving -30 + 12n = 14 + 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 + 12n + -5n = 14 + 5n + -5n Combine like terms: 12n + -5n = 7n -30 + 7n = 14 + 5n + -5n Combine like terms: 5n + -5n = 0 -30 + 7n = 14 + 0 -30 + 7n = 14 Add '30' to each side of the equation. -30 + 30 + 7n = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 7n = 14 + 30 7n = 14 + 30 Combine like terms: 14 + 30 = 44 7n = 44 Divide each side by '7'. n = 6.285714286 Simplifying n = 6.285714286
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