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Simplifying 7(2n + -1) = (7n + 3) + 6 Reorder the terms: 7(-1 + 2n) = (7n + 3) + 6 (-1 * 7 + 2n * 7) = (7n + 3) + 6 (-7 + 14n) = (7n + 3) + 6 Reorder the terms: -7 + 14n = (3 + 7n) + 6 Remove parenthesis around (3 + 7n) -7 + 14n = 3 + 7n + 6 Reorder the terms: -7 + 14n = 3 + 6 + 7n Combine like terms: 3 + 6 = 9 -7 + 14n = 9 + 7n Solving -7 + 14n = 9 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -7 + 14n + -7n = 9 + 7n + -7n Combine like terms: 14n + -7n = 7n -7 + 7n = 9 + 7n + -7n Combine like terms: 7n + -7n = 0 -7 + 7n = 9 + 0 -7 + 7n = 9 Add '7' to each side of the equation. -7 + 7 + 7n = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 7n = 9 + 7 7n = 9 + 7 Combine like terms: 9 + 7 = 16 7n = 16 Divide each side by '7'. n = 2.285714286 Simplifying n = 2.285714286
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