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Simplifying -71 = 3v + 4v + -29 Reorder the terms: -71 = -29 + 3v + 4v Combine like terms: 3v + 4v = 7v -71 = -29 + 7v Solving -71 = -29 + 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. -71 + -7v = -29 + 7v + -7v Combine like terms: 7v + -7v = 0 -71 + -7v = -29 + 0 -71 + -7v = -29 Add '71' to each side of the equation. -71 + 71 + -7v = -29 + 71 Combine like terms: -71 + 71 = 0 0 + -7v = -29 + 71 -7v = -29 + 71 Combine like terms: -29 + 71 = 42 -7v = 42 Divide each side by '-7'. v = -6 Simplifying v = -6
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