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Simplifying 3(2v + -5) + -2(5v + -3) = 15 Reorder the terms: 3(-5 + 2v) + -2(5v + -3) = 15 (-5 * 3 + 2v * 3) + -2(5v + -3) = 15 (-15 + 6v) + -2(5v + -3) = 15 Reorder the terms: -15 + 6v + -2(-3 + 5v) = 15 -15 + 6v + (-3 * -2 + 5v * -2) = 15 -15 + 6v + (6 + -10v) = 15 Reorder the terms: -15 + 6 + 6v + -10v = 15 Combine like terms: -15 + 6 = -9 -9 + 6v + -10v = 15 Combine like terms: 6v + -10v = -4v -9 + -4v = 15 Solving -9 + -4v = 15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4v = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -4v = 15 + 9 -4v = 15 + 9 Combine like terms: 15 + 9 = 24 -4v = 24 Divide each side by '-4'. v = -6 Simplifying v = -6
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