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Simplifying 2(3n + -4) = (2n + 7) + 7 Reorder the terms: 2(-4 + 3n) = (2n + 7) + 7 (-4 * 2 + 3n * 2) = (2n + 7) + 7 (-8 + 6n) = (2n + 7) + 7 Reorder the terms: -8 + 6n = (7 + 2n) + 7 Remove parenthesis around (7 + 2n) -8 + 6n = 7 + 2n + 7 Reorder the terms: -8 + 6n = 7 + 7 + 2n Combine like terms: 7 + 7 = 14 -8 + 6n = 14 + 2n Solving -8 + 6n = 14 + 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. -8 + 6n + -2n = 14 + 2n + -2n Combine like terms: 6n + -2n = 4n -8 + 4n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 4n = 14 + 0 -8 + 4n = 14 Add '8' to each side of the equation. -8 + 8 + 4n = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 14 + 8 4n = 14 + 8 Combine like terms: 14 + 8 = 22 4n = 22 Divide each side by '4'. n = 5.5 Simplifying n = 5.5
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