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Simplifying 3(3 + -1v) = 4(v + -3) (3 * 3 + -1v * 3) = 4(v + -3) (9 + -3v) = 4(v + -3) Reorder the terms: 9 + -3v = 4(-3 + v) 9 + -3v = (-3 * 4 + v * 4) 9 + -3v = (-12 + 4v) Solving 9 + -3v = -12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 9 + -3v + -4v = -12 + 4v + -4v Combine like terms: -3v + -4v = -7v 9 + -7v = -12 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + -7v = -12 + 0 9 + -7v = -12 Add '-9' to each side of the equation. 9 + -9 + -7v = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7v = -12 + -9 -7v = -12 + -9 Combine like terms: -12 + -9 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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