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Simplifying 2(v + -10) = 6(v + 3) Reorder the terms: 2(-10 + v) = 6(v + 3) (-10 * 2 + v * 2) = 6(v + 3) (-20 + 2v) = 6(v + 3) Reorder the terms: -20 + 2v = 6(3 + v) -20 + 2v = (3 * 6 + v * 6) -20 + 2v = (18 + 6v) Solving -20 + 2v = 18 + 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. -20 + 2v + -6v = 18 + 6v + -6v Combine like terms: 2v + -6v = -4v -20 + -4v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 -20 + -4v = 18 + 0 -20 + -4v = 18 Add '20' to each side of the equation. -20 + 20 + -4v = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -4v = 18 + 20 -4v = 18 + 20 Combine like terms: 18 + 20 = 38 -4v = 38 Divide each side by '-4'. v = -9.5 Simplifying v = -9.5
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