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Simplifying -2(v + -5) = 3v + -10 Reorder the terms: -2(-5 + v) = 3v + -10 (-5 * -2 + v * -2) = 3v + -10 (10 + -2v) = 3v + -10 Reorder the terms: 10 + -2v = -10 + 3v Solving 10 + -2v = -10 + 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. 10 + -2v + -3v = -10 + 3v + -3v Combine like terms: -2v + -3v = -5v 10 + -5v = -10 + 3v + -3v Combine like terms: 3v + -3v = 0 10 + -5v = -10 + 0 10 + -5v = -10 Add '-10' to each side of the equation. 10 + -10 + -5v = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5v = -10 + -10 -5v = -10 + -10 Combine like terms: -10 + -10 = -20 -5v = -20 Divide each side by '-5'. v = 4 Simplifying v = 4
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