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Simplifying -32 = 4v + 4(v + -4) Reorder the terms: -32 = 4v + 4(-4 + v) -32 = 4v + (-4 * 4 + v * 4) -32 = 4v + (-16 + 4v) Reorder the terms: -32 = -16 + 4v + 4v Combine like terms: 4v + 4v = 8v -32 = -16 + 8v Solving -32 = -16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -32 + -8v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 -32 + -8v = -16 + 0 -32 + -8v = -16 Add '32' to each side of the equation. -32 + 32 + -8v = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -8v = -16 + 32 -8v = -16 + 32 Combine like terms: -16 + 32 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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