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Simplifying -5(6v + -7) = 2v + -37 + -4v Reorder the terms: -5(-7 + 6v) = 2v + -37 + -4v (-7 * -5 + 6v * -5) = 2v + -37 + -4v (35 + -30v) = 2v + -37 + -4v Reorder the terms: 35 + -30v = -37 + 2v + -4v Combine like terms: 2v + -4v = -2v 35 + -30v = -37 + -2v Solving 35 + -30v = -37 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 35 + -30v + 2v = -37 + -2v + 2v Combine like terms: -30v + 2v = -28v 35 + -28v = -37 + -2v + 2v Combine like terms: -2v + 2v = 0 35 + -28v = -37 + 0 35 + -28v = -37 Add '-35' to each side of the equation. 35 + -35 + -28v = -37 + -35 Combine like terms: 35 + -35 = 0 0 + -28v = -37 + -35 -28v = -37 + -35 Combine like terms: -37 + -35 = -72 -28v = -72 Divide each side by '-28'. v = 2.571428571 Simplifying v = 2.571428571
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