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Simplifying 5(6 + -2v) = 2(3 + -3v) (6 * 5 + -2v * 5) = 2(3 + -3v) (30 + -10v) = 2(3 + -3v) 30 + -10v = (3 * 2 + -3v * 2) 30 + -10v = (6 + -6v) Solving 30 + -10v = 6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 30 + -10v + 6v = 6 + -6v + 6v Combine like terms: -10v + 6v = -4v 30 + -4v = 6 + -6v + 6v Combine like terms: -6v + 6v = 0 30 + -4v = 6 + 0 30 + -4v = 6 Add '-30' to each side of the equation. 30 + -30 + -4v = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -4v = 6 + -30 -4v = 6 + -30 Combine like terms: 6 + -30 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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