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Simplifying -9 = -7v + 3(v + -7) Reorder the terms: -9 = -7v + 3(-7 + v) -9 = -7v + (-7 * 3 + v * 3) -9 = -7v + (-21 + 3v) Reorder the terms: -9 = -21 + -7v + 3v Combine like terms: -7v + 3v = -4v -9 = -21 + -4v Solving -9 = -21 + -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. -9 + 4v = -21 + -4v + 4v Combine like terms: -4v + 4v = 0 -9 + 4v = -21 + 0 -9 + 4v = -21 Add '9' to each side of the equation. -9 + 9 + 4v = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 4v = -21 + 9 4v = -21 + 9 Combine like terms: -21 + 9 = -12 4v = -12 Divide each side by '4'. v = -3 Simplifying v = -3
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