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Simplifying -2(v + 2) + -3(v + 5) = 0 Reorder the terms: -2(2 + v) + -3(v + 5) = 0 (2 * -2 + v * -2) + -3(v + 5) = 0 (-4 + -2v) + -3(v + 5) = 0 Reorder the terms: -4 + -2v + -3(5 + v) = 0 -4 + -2v + (5 * -3 + v * -3) = 0 -4 + -2v + (-15 + -3v) = 0 Reorder the terms: -4 + -15 + -2v + -3v = 0 Combine like terms: -4 + -15 = -19 -19 + -2v + -3v = 0 Combine like terms: -2v + -3v = -5v -19 + -5v = 0 Solving -19 + -5v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -5v = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -5v = 0 + 19 -5v = 0 + 19 Combine like terms: 0 + 19 = 19 -5v = 19 Divide each side by '-5'. v = -3.8 Simplifying v = -3.8
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