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Simplifying 8(2n + -2) = (4n + 4) + 8 Reorder the terms: 8(-2 + 2n) = (4n + 4) + 8 (-2 * 8 + 2n * 8) = (4n + 4) + 8 (-16 + 16n) = (4n + 4) + 8 Reorder the terms: -16 + 16n = (4 + 4n) + 8 Remove parenthesis around (4 + 4n) -16 + 16n = 4 + 4n + 8 Reorder the terms: -16 + 16n = 4 + 8 + 4n Combine like terms: 4 + 8 = 12 -16 + 16n = 12 + 4n Solving -16 + 16n = 12 + 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. -16 + 16n + -4n = 12 + 4n + -4n Combine like terms: 16n + -4n = 12n -16 + 12n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + 12n = 12 + 0 -16 + 12n = 12 Add '16' to each side of the equation. -16 + 16 + 12n = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 12n = 12 + 16 12n = 12 + 16 Combine like terms: 12 + 16 = 28 12n = 28 Divide each side by '12'. n = 2.333333333 Simplifying n = 2.333333333
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