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Simplifying -6(v + 3) = 4v + 22 Reorder the terms: -6(3 + v) = 4v + 22 (3 * -6 + v * -6) = 4v + 22 (-18 + -6v) = 4v + 22 Reorder the terms: -18 + -6v = 22 + 4v Solving -18 + -6v = 22 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -18 + -6v + -4v = 22 + 4v + -4v Combine like terms: -6v + -4v = -10v -18 + -10v = 22 + 4v + -4v Combine like terms: 4v + -4v = 0 -18 + -10v = 22 + 0 -18 + -10v = 22 Add '18' to each side of the equation. -18 + 18 + -10v = 22 + 18 Combine like terms: -18 + 18 = 0 0 + -10v = 22 + 18 -10v = 22 + 18 Combine like terms: 22 + 18 = 40 -10v = 40 Divide each side by '-10'. v = -4 Simplifying v = -4
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