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Simplifying -32 + -4v = 2(7v + 7) Reorder the terms: -32 + -4v = 2(7 + 7v) -32 + -4v = (7 * 2 + 7v * 2) -32 + -4v = (14 + 14v) Solving -32 + -4v = 14 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -32 + -4v + -14v = 14 + 14v + -14v Combine like terms: -4v + -14v = -18v -32 + -18v = 14 + 14v + -14v Combine like terms: 14v + -14v = 0 -32 + -18v = 14 + 0 -32 + -18v = 14 Add '32' to each side of the equation. -32 + 32 + -18v = 14 + 32 Combine like terms: -32 + 32 = 0 0 + -18v = 14 + 32 -18v = 14 + 32 Combine like terms: 14 + 32 = 46 -18v = 46 Divide each side by '-18'. v = -2.555555556 Simplifying v = -2.555555556
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