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Simplifying -7 + 3v = 4(3v + 3) Reorder the terms: -7 + 3v = 4(3 + 3v) -7 + 3v = (3 * 4 + 3v * 4) -7 + 3v = (12 + 12v) Solving -7 + 3v = 12 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -7 + 3v + -12v = 12 + 12v + -12v Combine like terms: 3v + -12v = -9v -7 + -9v = 12 + 12v + -12v Combine like terms: 12v + -12v = 0 -7 + -9v = 12 + 0 -7 + -9v = 12 Add '7' to each side of the equation. -7 + 7 + -9v = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -9v = 12 + 7 -9v = 12 + 7 Combine like terms: 12 + 7 = 19 -9v = 19 Divide each side by '-9'. v = -2.111111111 Simplifying v = -2.111111111
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