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Simplifying -2(v + -3) + -5v = -3(v + 3) Reorder the terms: -2(-3 + v) + -5v = -3(v + 3) (-3 * -2 + v * -2) + -5v = -3(v + 3) (6 + -2v) + -5v = -3(v + 3) Combine like terms: -2v + -5v = -7v 6 + -7v = -3(v + 3) Reorder the terms: 6 + -7v = -3(3 + v) 6 + -7v = (3 * -3 + v * -3) 6 + -7v = (-9 + -3v) Solving 6 + -7v = -9 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 6 + -7v + 3v = -9 + -3v + 3v Combine like terms: -7v + 3v = -4v 6 + -4v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + -4v = -9 + 0 6 + -4v = -9 Add '-6' to each side of the equation. 6 + -6 + -4v = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -4v = -9 + -6 -4v = -9 + -6 Combine like terms: -9 + -6 = -15 -4v = -15 Divide each side by '-4'. v = 3.75 Simplifying v = 3.75
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