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Simplifying 2(v + -5) + -6 = -5(-5v + 4) + -7v Reorder the terms: 2(-5 + v) + -6 = -5(-5v + 4) + -7v (-5 * 2 + v * 2) + -6 = -5(-5v + 4) + -7v (-10 + 2v) + -6 = -5(-5v + 4) + -7v Reorder the terms: -10 + -6 + 2v = -5(-5v + 4) + -7v Combine like terms: -10 + -6 = -16 -16 + 2v = -5(-5v + 4) + -7v Reorder the terms: -16 + 2v = -5(4 + -5v) + -7v -16 + 2v = (4 * -5 + -5v * -5) + -7v -16 + 2v = (-20 + 25v) + -7v Combine like terms: 25v + -7v = 18v -16 + 2v = -20 + 18v Solving -16 + 2v = -20 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -16 + 2v + -18v = -20 + 18v + -18v Combine like terms: 2v + -18v = -16v -16 + -16v = -20 + 18v + -18v Combine like terms: 18v + -18v = 0 -16 + -16v = -20 + 0 -16 + -16v = -20 Add '16' to each side of the equation. -16 + 16 + -16v = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -16v = -20 + 16 -16v = -20 + 16 Combine like terms: -20 + 16 = -4 -16v = -4 Divide each side by '-16'. v = 0.25 Simplifying v = 0.25
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