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Simplifying 7(3n + -1) = (2n + 4) + 2 Reorder the terms: 7(-1 + 3n) = (2n + 4) + 2 (-1 * 7 + 3n * 7) = (2n + 4) + 2 (-7 + 21n) = (2n + 4) + 2 Reorder the terms: -7 + 21n = (4 + 2n) + 2 Remove parenthesis around (4 + 2n) -7 + 21n = 4 + 2n + 2 Reorder the terms: -7 + 21n = 4 + 2 + 2n Combine like terms: 4 + 2 = 6 -7 + 21n = 6 + 2n Solving -7 + 21n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -7 + 21n + -2n = 6 + 2n + -2n Combine like terms: 21n + -2n = 19n -7 + 19n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 19n = 6 + 0 -7 + 19n = 6 Add '7' to each side of the equation. -7 + 7 + 19n = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 19n = 6 + 7 19n = 6 + 7 Combine like terms: 6 + 7 = 13 19n = 13 Divide each side by '19'. n = 0.6842105263 Simplifying n = 0.6842105263
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