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Simplifying -7v + -11 = -3(v + 9) Reorder the terms: -11 + -7v = -3(v + 9) Reorder the terms: -11 + -7v = -3(9 + v) -11 + -7v = (9 * -3 + v * -3) -11 + -7v = (-27 + -3v) Solving -11 + -7v = -27 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -11 + -7v + 3v = -27 + -3v + 3v Combine like terms: -7v + 3v = -4v -11 + -4v = -27 + -3v + 3v Combine like terms: -3v + 3v = 0 -11 + -4v = -27 + 0 -11 + -4v = -27 Add '11' to each side of the equation. -11 + 11 + -4v = -27 + 11 Combine like terms: -11 + 11 = 0 0 + -4v = -27 + 11 -4v = -27 + 11 Combine like terms: -27 + 11 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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