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Simplifying -32 + 2v = -7(6v + -8) Reorder the terms: -32 + 2v = -7(-8 + 6v) -32 + 2v = (-8 * -7 + 6v * -7) -32 + 2v = (56 + -42v) Solving -32 + 2v = 56 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. -32 + 2v + 42v = 56 + -42v + 42v Combine like terms: 2v + 42v = 44v -32 + 44v = 56 + -42v + 42v Combine like terms: -42v + 42v = 0 -32 + 44v = 56 + 0 -32 + 44v = 56 Add '32' to each side of the equation. -32 + 32 + 44v = 56 + 32 Combine like terms: -32 + 32 = 0 0 + 44v = 56 + 32 44v = 56 + 32 Combine like terms: 56 + 32 = 88 44v = 88 Divide each side by '44'. v = 2 Simplifying v = 2
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