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Simplifying 4(v + -8) = -9v + 33 Reorder the terms: 4(-8 + v) = -9v + 33 (-8 * 4 + v * 4) = -9v + 33 (-32 + 4v) = -9v + 33 Reorder the terms: -32 + 4v = 33 + -9v Solving -32 + 4v = 33 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -32 + 4v + 9v = 33 + -9v + 9v Combine like terms: 4v + 9v = 13v -32 + 13v = 33 + -9v + 9v Combine like terms: -9v + 9v = 0 -32 + 13v = 33 + 0 -32 + 13v = 33 Add '32' to each side of the equation. -32 + 32 + 13v = 33 + 32 Combine like terms: -32 + 32 = 0 0 + 13v = 33 + 32 13v = 33 + 32 Combine like terms: 33 + 32 = 65 13v = 65 Divide each side by '13'. v = 5 Simplifying v = 5
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