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Simplifying 4(v + -2) = -5 + 5v Reorder the terms: 4(-2 + v) = -5 + 5v (-2 * 4 + v * 4) = -5 + 5v (-8 + 4v) = -5 + 5v Solving -8 + 4v = -5 + 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. -8 + 4v + -5v = -5 + 5v + -5v Combine like terms: 4v + -5v = -1v -8 + -1v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + -1v = -5 + 0 -8 + -1v = -5 Add '8' to each side of the equation. -8 + 8 + -1v = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = -5 + 8 -1v = -5 + 8 Combine like terms: -5 + 8 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3
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