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Simplifying 7(2n + -1) = (2n + 7) + 4 Reorder the terms: 7(-1 + 2n) = (2n + 7) + 4 (-1 * 7 + 2n * 7) = (2n + 7) + 4 (-7 + 14n) = (2n + 7) + 4 Reorder the terms: -7 + 14n = (7 + 2n) + 4 Remove parenthesis around (7 + 2n) -7 + 14n = 7 + 2n + 4 Reorder the terms: -7 + 14n = 7 + 4 + 2n Combine like terms: 7 + 4 = 11 -7 + 14n = 11 + 2n Solving -7 + 14n = 11 + 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 + 14n + -2n = 11 + 2n + -2n Combine like terms: 14n + -2n = 12n -7 + 12n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 12n = 11 + 0 -7 + 12n = 11 Add '7' to each side of the equation. -7 + 7 + 12n = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 12n = 11 + 7 12n = 11 + 7 Combine like terms: 11 + 7 = 18 12n = 18 Divide each side by '12'. n = 1.5 Simplifying n = 1.5
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