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Simplifying -9v + -18 = -7(v + 2) Reorder the terms: -18 + -9v = -7(v + 2) Reorder the terms: -18 + -9v = -7(2 + v) -18 + -9v = (2 * -7 + v * -7) -18 + -9v = (-14 + -7v) Solving -18 + -9v = -14 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -18 + -9v + 7v = -14 + -7v + 7v Combine like terms: -9v + 7v = -2v -18 + -2v = -14 + -7v + 7v Combine like terms: -7v + 7v = 0 -18 + -2v = -14 + 0 -18 + -2v = -14 Add '18' to each side of the equation. -18 + 18 + -2v = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -2v = -14 + 18 -2v = -14 + 18 Combine like terms: -14 + 18 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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