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Simplifying -11 = 3(v + -7) + -8v Reorder the terms: -11 = 3(-7 + v) + -8v -11 = (-7 * 3 + v * 3) + -8v -11 = (-21 + 3v) + -8v Combine like terms: 3v + -8v = -5v -11 = -21 + -5v Solving -11 = -21 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -11 + 5v = -21 + -5v + 5v Combine like terms: -5v + 5v = 0 -11 + 5v = -21 + 0 -11 + 5v = -21 Add '11' to each side of the equation. -11 + 11 + 5v = -21 + 11 Combine like terms: -11 + 11 = 0 0 + 5v = -21 + 11 5v = -21 + 11 Combine like terms: -21 + 11 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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