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Simplifying 32 = 2(v + -4) + -7v Reorder the terms: 32 = 2(-4 + v) + -7v 32 = (-4 * 2 + v * 2) + -7v 32 = (-8 + 2v) + -7v Combine like terms: 2v + -7v = -5v 32 = -8 + -5v Solving 32 = -8 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 32 + 5v = -8 + -5v + 5v Combine like terms: -5v + 5v = 0 32 + 5v = -8 + 0 32 + 5v = -8 Add '-32' to each side of the equation. 32 + -32 + 5v = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 5v = -8 + -32 5v = -8 + -32 Combine like terms: -8 + -32 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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