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