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Simplifying 7v + -29 = -5(3v + -3) Reorder the terms: -29 + 7v = -5(3v + -3) Reorder the terms: -29 + 7v = -5(-3 + 3v) -29 + 7v = (-3 * -5 + 3v * -5) -29 + 7v = (15 + -15v) Solving -29 + 7v = 15 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -29 + 7v + 15v = 15 + -15v + 15v Combine like terms: 7v + 15v = 22v -29 + 22v = 15 + -15v + 15v Combine like terms: -15v + 15v = 0 -29 + 22v = 15 + 0 -29 + 22v = 15 Add '29' to each side of the equation. -29 + 29 + 22v = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 22v = 15 + 29 22v = 15 + 29 Combine like terms: 15 + 29 = 44 22v = 44 Divide each side by '22'. v = 2 Simplifying v = 2
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