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Simplifying -5(v + 3) + 3v + 7 = 7v + 12 Reorder the terms: -5(3 + v) + 3v + 7 = 7v + 12 (3 * -5 + v * -5) + 3v + 7 = 7v + 12 (-15 + -5v) + 3v + 7 = 7v + 12 Reorder the terms: -15 + 7 + -5v + 3v = 7v + 12 Combine like terms: -15 + 7 = -8 -8 + -5v + 3v = 7v + 12 Combine like terms: -5v + 3v = -2v -8 + -2v = 7v + 12 Reorder the terms: -8 + -2v = 12 + 7v Solving -8 + -2v = 12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -8 + -2v + -7v = 12 + 7v + -7v Combine like terms: -2v + -7v = -9v -8 + -9v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -9v = 12 + 0 -8 + -9v = 12 Add '8' to each side of the equation. -8 + 8 + -9v = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -9v = 12 + 8 -9v = 12 + 8 Combine like terms: 12 + 8 = 20 -9v = 20 Divide each side by '-9'. v = -2.222222222 Simplifying v = -2.222222222
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