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Simplifying 8(v + 4) + -2v = (3v + 3) + -8 Reorder the terms: 8(4 + v) + -2v = (3v + 3) + -8 (4 * 8 + v * 8) + -2v = (3v + 3) + -8 (32 + 8v) + -2v = (3v + 3) + -8 Combine like terms: 8v + -2v = 6v 32 + 6v = (3v + 3) + -8 Reorder the terms: 32 + 6v = (3 + 3v) + -8 Remove parenthesis around (3 + 3v) 32 + 6v = 3 + 3v + -8 Reorder the terms: 32 + 6v = 3 + -8 + 3v Combine like terms: 3 + -8 = -5 32 + 6v = -5 + 3v Solving 32 + 6v = -5 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 32 + 6v + -3v = -5 + 3v + -3v Combine like terms: 6v + -3v = 3v 32 + 3v = -5 + 3v + -3v Combine like terms: 3v + -3v = 0 32 + 3v = -5 + 0 32 + 3v = -5 Add '-32' to each side of the equation. 32 + -32 + 3v = -5 + -32 Combine like terms: 32 + -32 = 0 0 + 3v = -5 + -32 3v = -5 + -32 Combine like terms: -5 + -32 = -37 3v = -37 Divide each side by '3'. v = -12.33333333 Simplifying v = -12.33333333
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