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Simplifying 8(2n + -4) = (4n + 7) + 4 Reorder the terms: 8(-4 + 2n) = (4n + 7) + 4 (-4 * 8 + 2n * 8) = (4n + 7) + 4 (-32 + 16n) = (4n + 7) + 4 Reorder the terms: -32 + 16n = (7 + 4n) + 4 Remove parenthesis around (7 + 4n) -32 + 16n = 7 + 4n + 4 Reorder the terms: -32 + 16n = 7 + 4 + 4n Combine like terms: 7 + 4 = 11 -32 + 16n = 11 + 4n Solving -32 + 16n = 11 + 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. -32 + 16n + -4n = 11 + 4n + -4n Combine like terms: 16n + -4n = 12n -32 + 12n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 -32 + 12n = 11 + 0 -32 + 12n = 11 Add '32' to each side of the equation. -32 + 32 + 12n = 11 + 32 Combine like terms: -32 + 32 = 0 0 + 12n = 11 + 32 12n = 11 + 32 Combine like terms: 11 + 32 = 43 12n = 43 Divide each side by '12'. n = 3.583333333 Simplifying n = 3.583333333
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