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Simplifying 7(v + -6) = -4v + -20 Reorder the terms: 7(-6 + v) = -4v + -20 (-6 * 7 + v * 7) = -4v + -20 (-42 + 7v) = -4v + -20 Reorder the terms: -42 + 7v = -20 + -4v Solving -42 + 7v = -20 + -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. -42 + 7v + 4v = -20 + -4v + 4v Combine like terms: 7v + 4v = 11v -42 + 11v = -20 + -4v + 4v Combine like terms: -4v + 4v = 0 -42 + 11v = -20 + 0 -42 + 11v = -20 Add '42' to each side of the equation. -42 + 42 + 11v = -20 + 42 Combine like terms: -42 + 42 = 0 0 + 11v = -20 + 42 11v = -20 + 42 Combine like terms: -20 + 42 = 22 11v = 22 Divide each side by '11'. v = 2 Simplifying v = 2
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