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Simplifying -33 + -5v = 7(-4v + -8) Reorder the terms: -33 + -5v = 7(-8 + -4v) -33 + -5v = (-8 * 7 + -4v * 7) -33 + -5v = (-56 + -28v) Solving -33 + -5v = -56 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -33 + -5v + 28v = -56 + -28v + 28v Combine like terms: -5v + 28v = 23v -33 + 23v = -56 + -28v + 28v Combine like terms: -28v + 28v = 0 -33 + 23v = -56 + 0 -33 + 23v = -56 Add '33' to each side of the equation. -33 + 33 + 23v = -56 + 33 Combine like terms: -33 + 33 = 0 0 + 23v = -56 + 33 23v = -56 + 33 Combine like terms: -56 + 33 = -23 23v = -23 Divide each side by '23'. v = -1 Simplifying v = -1
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