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Simplifying 3(v + -6) = 7v + 22 Reorder the terms: 3(-6 + v) = 7v + 22 (-6 * 3 + v * 3) = 7v + 22 (-18 + 3v) = 7v + 22 Reorder the terms: -18 + 3v = 22 + 7v Solving -18 + 3v = 22 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -18 + 3v + -7v = 22 + 7v + -7v Combine like terms: 3v + -7v = -4v -18 + -4v = 22 + 7v + -7v Combine like terms: 7v + -7v = 0 -18 + -4v = 22 + 0 -18 + -4v = 22 Add '18' to each side of the equation. -18 + 18 + -4v = 22 + 18 Combine like terms: -18 + 18 = 0 0 + -4v = 22 + 18 -4v = 22 + 18 Combine like terms: 22 + 18 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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