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Simplifying 16(v + 2) + -4v = (3v + 3) + -21 Reorder the terms: 16(2 + v) + -4v = (3v + 3) + -21 (2 * 16 + v * 16) + -4v = (3v + 3) + -21 (32 + 16v) + -4v = (3v + 3) + -21 Combine like terms: 16v + -4v = 12v 32 + 12v = (3v + 3) + -21 Reorder the terms: 32 + 12v = (3 + 3v) + -21 Remove parenthesis around (3 + 3v) 32 + 12v = 3 + 3v + -21 Reorder the terms: 32 + 12v = 3 + -21 + 3v Combine like terms: 3 + -21 = -18 32 + 12v = -18 + 3v Solving 32 + 12v = -18 + 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 + 12v + -3v = -18 + 3v + -3v Combine like terms: 12v + -3v = 9v 32 + 9v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 32 + 9v = -18 + 0 32 + 9v = -18 Add '-32' to each side of the equation. 32 + -32 + 9v = -18 + -32 Combine like terms: 32 + -32 = 0 0 + 9v = -18 + -32 9v = -18 + -32 Combine like terms: -18 + -32 = -50 9v = -50 Divide each side by '9'. v = -5.555555556 Simplifying v = -5.555555556
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