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Simplifying 2(v + -6) = 5v + -21 Reorder the terms: 2(-6 + v) = 5v + -21 (-6 * 2 + v * 2) = 5v + -21 (-12 + 2v) = 5v + -21 Reorder the terms: -12 + 2v = -21 + 5v Solving -12 + 2v = -21 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -12 + 2v + -5v = -21 + 5v + -5v Combine like terms: 2v + -5v = -3v -12 + -3v = -21 + 5v + -5v Combine like terms: 5v + -5v = 0 -12 + -3v = -21 + 0 -12 + -3v = -21 Add '12' to each side of the equation. -12 + 12 + -3v = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -3v = -21 + 12 -3v = -21 + 12 Combine like terms: -21 + 12 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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