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Simplifying 2(v + -3) + -9 = 3(-7v + 7) + -4v Reorder the terms: 2(-3 + v) + -9 = 3(-7v + 7) + -4v (-3 * 2 + v * 2) + -9 = 3(-7v + 7) + -4v (-6 + 2v) + -9 = 3(-7v + 7) + -4v Reorder the terms: -6 + -9 + 2v = 3(-7v + 7) + -4v Combine like terms: -6 + -9 = -15 -15 + 2v = 3(-7v + 7) + -4v Reorder the terms: -15 + 2v = 3(7 + -7v) + -4v -15 + 2v = (7 * 3 + -7v * 3) + -4v -15 + 2v = (21 + -21v) + -4v Combine like terms: -21v + -4v = -25v -15 + 2v = 21 + -25v Solving -15 + 2v = 21 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. -15 + 2v + 25v = 21 + -25v + 25v Combine like terms: 2v + 25v = 27v -15 + 27v = 21 + -25v + 25v Combine like terms: -25v + 25v = 0 -15 + 27v = 21 + 0 -15 + 27v = 21 Add '15' to each side of the equation. -15 + 15 + 27v = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 27v = 21 + 15 27v = 21 + 15 Combine like terms: 21 + 15 = 36 27v = 36 Divide each side by '27'. v = 1.333333333 Simplifying v = 1.333333333
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