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Simplifying 7(3n + -1) = (4n + 2) + 1 Reorder the terms: 7(-1 + 3n) = (4n + 2) + 1 (-1 * 7 + 3n * 7) = (4n + 2) + 1 (-7 + 21n) = (4n + 2) + 1 Reorder the terms: -7 + 21n = (2 + 4n) + 1 Remove parenthesis around (2 + 4n) -7 + 21n = 2 + 4n + 1 Reorder the terms: -7 + 21n = 2 + 1 + 4n Combine like terms: 2 + 1 = 3 -7 + 21n = 3 + 4n Solving -7 + 21n = 3 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -7 + 21n + -4n = 3 + 4n + -4n Combine like terms: 21n + -4n = 17n -7 + 17n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 -7 + 17n = 3 + 0 -7 + 17n = 3 Add '7' to each side of the equation. -7 + 7 + 17n = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 17n = 3 + 7 17n = 3 + 7 Combine like terms: 3 + 7 = 10 17n = 10 Divide each side by '17'. n = 0.5882352941 Simplifying n = 0.5882352941
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