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Simplifying -6(-3v + 5) + -3v = 5(v + -5) + -7 Reorder the terms: -6(5 + -3v) + -3v = 5(v + -5) + -7 (5 * -6 + -3v * -6) + -3v = 5(v + -5) + -7 (-30 + 18v) + -3v = 5(v + -5) + -7 Combine like terms: 18v + -3v = 15v -30 + 15v = 5(v + -5) + -7 Reorder the terms: -30 + 15v = 5(-5 + v) + -7 -30 + 15v = (-5 * 5 + v * 5) + -7 -30 + 15v = (-25 + 5v) + -7 Reorder the terms: -30 + 15v = -25 + -7 + 5v Combine like terms: -25 + -7 = -32 -30 + 15v = -32 + 5v Solving -30 + 15v = -32 + 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. -30 + 15v + -5v = -32 + 5v + -5v Combine like terms: 15v + -5v = 10v -30 + 10v = -32 + 5v + -5v Combine like terms: 5v + -5v = 0 -30 + 10v = -32 + 0 -30 + 10v = -32 Add '30' to each side of the equation. -30 + 30 + 10v = -32 + 30 Combine like terms: -30 + 30 = 0 0 + 10v = -32 + 30 10v = -32 + 30 Combine like terms: -32 + 30 = -2 10v = -2 Divide each side by '10'. v = -0.2 Simplifying v = -0.2
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