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Simplifying -2(v + 7) + -7v = 40 Reorder the terms: -2(7 + v) + -7v = 40 (7 * -2 + v * -2) + -7v = 40 (-14 + -2v) + -7v = 40 Combine like terms: -2v + -7v = -9v -14 + -9v = 40 Solving -14 + -9v = 40 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -9v = 40 + 14 Combine like terms: -14 + 14 = 0 0 + -9v = 40 + 14 -9v = 40 + 14 Combine like terms: 40 + 14 = 54 -9v = 54 Divide each side by '-9'. v = -6 Simplifying v = -6
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