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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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