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Simplifying -32 + -8v = -5(6v + -7) Reorder the terms: -32 + -8v = -5(-7 + 6v) -32 + -8v = (-7 * -5 + 6v * -5) -32 + -8v = (35 + -30v) Solving -32 + -8v = 35 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -32 + -8v + 30v = 35 + -30v + 30v Combine like terms: -8v + 30v = 22v -32 + 22v = 35 + -30v + 30v Combine like terms: -30v + 30v = 0 -32 + 22v = 35 + 0 -32 + 22v = 35 Add '32' to each side of the equation. -32 + 32 + 22v = 35 + 32 Combine like terms: -32 + 32 = 0 0 + 22v = 35 + 32 22v = 35 + 32 Combine like terms: 35 + 32 = 67 22v = 67 Divide each side by '22'. v = 3.045454545 Simplifying v = 3.045454545
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