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Simplifying 7(2n + -4) = (2n + 8) + 1 Reorder the terms: 7(-4 + 2n) = (2n + 8) + 1 (-4 * 7 + 2n * 7) = (2n + 8) + 1 (-28 + 14n) = (2n + 8) + 1 Reorder the terms: -28 + 14n = (8 + 2n) + 1 Remove parenthesis around (8 + 2n) -28 + 14n = 8 + 2n + 1 Reorder the terms: -28 + 14n = 8 + 1 + 2n Combine like terms: 8 + 1 = 9 -28 + 14n = 9 + 2n Solving -28 + 14n = 9 + 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. -28 + 14n + -2n = 9 + 2n + -2n Combine like terms: 14n + -2n = 12n -28 + 12n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 -28 + 12n = 9 + 0 -28 + 12n = 9 Add '28' to each side of the equation. -28 + 28 + 12n = 9 + 28 Combine like terms: -28 + 28 = 0 0 + 12n = 9 + 28 12n = 9 + 28 Combine like terms: 9 + 28 = 37 12n = 37 Divide each side by '12'. n = 3.083333333 Simplifying n = 3.083333333
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