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Simplifying -7(v + 6) + -5v = 22 + -4v Reorder the terms: -7(6 + v) + -5v = 22 + -4v (6 * -7 + v * -7) + -5v = 22 + -4v (-42 + -7v) + -5v = 22 + -4v Combine like terms: -7v + -5v = -12v -42 + -12v = 22 + -4v Solving -42 + -12v = 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. -42 + -12v + 4v = 22 + -4v + 4v Combine like terms: -12v + 4v = -8v -42 + -8v = 22 + -4v + 4v Combine like terms: -4v + 4v = 0 -42 + -8v = 22 + 0 -42 + -8v = 22 Add '42' to each side of the equation. -42 + 42 + -8v = 22 + 42 Combine like terms: -42 + 42 = 0 0 + -8v = 22 + 42 -8v = 22 + 42 Combine like terms: 22 + 42 = 64 -8v = 64 Divide each side by '-8'. v = -8 Simplifying v = -8
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