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Simplifying 32 = 7(v + 2) + -4v Reorder the terms: 32 = 7(2 + v) + -4v 32 = (2 * 7 + v * 7) + -4v 32 = (14 + 7v) + -4v Combine like terms: 7v + -4v = 3v 32 = 14 + 3v Solving 32 = 14 + 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 + -3v = 14 + 3v + -3v Combine like terms: 3v + -3v = 0 32 + -3v = 14 + 0 32 + -3v = 14 Add '-32' to each side of the equation. 32 + -32 + -3v = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -3v = 14 + -32 -3v = 14 + -32 Combine like terms: 14 + -32 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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