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Simplifying 6(2n + -3) = (5n + 6) + 5 Reorder the terms: 6(-3 + 2n) = (5n + 6) + 5 (-3 * 6 + 2n * 6) = (5n + 6) + 5 (-18 + 12n) = (5n + 6) + 5 Reorder the terms: -18 + 12n = (6 + 5n) + 5 Remove parenthesis around (6 + 5n) -18 + 12n = 6 + 5n + 5 Reorder the terms: -18 + 12n = 6 + 5 + 5n Combine like terms: 6 + 5 = 11 -18 + 12n = 11 + 5n Solving -18 + 12n = 11 + 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. -18 + 12n + -5n = 11 + 5n + -5n Combine like terms: 12n + -5n = 7n -18 + 7n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -18 + 7n = 11 + 0 -18 + 7n = 11 Add '18' to each side of the equation. -18 + 18 + 7n = 11 + 18 Combine like terms: -18 + 18 = 0 0 + 7n = 11 + 18 7n = 11 + 18 Combine like terms: 11 + 18 = 29 7n = 29 Divide each side by '7'. n = 4.142857143 Simplifying n = 4.142857143
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