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Simplifying 5(3v + -6) = 5(4 + -7v) Reorder the terms: 5(-6 + 3v) = 5(4 + -7v) (-6 * 5 + 3v * 5) = 5(4 + -7v) (-30 + 15v) = 5(4 + -7v) -30 + 15v = (4 * 5 + -7v * 5) -30 + 15v = (20 + -35v) Solving -30 + 15v = 20 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -30 + 15v + 35v = 20 + -35v + 35v Combine like terms: 15v + 35v = 50v -30 + 50v = 20 + -35v + 35v Combine like terms: -35v + 35v = 0 -30 + 50v = 20 + 0 -30 + 50v = 20 Add '30' to each side of the equation. -30 + 30 + 50v = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 50v = 20 + 30 50v = 20 + 30 Combine like terms: 20 + 30 = 50 50v = 50 Divide each side by '50'. v = 1 Simplifying v = 1
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