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Simplifying -7(v + -1) = 7v + -49 Reorder the terms: -7(-1 + v) = 7v + -49 (-1 * -7 + v * -7) = 7v + -49 (7 + -7v) = 7v + -49 Reorder the terms: 7 + -7v = -49 + 7v Solving 7 + -7v = -49 + 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. 7 + -7v + -7v = -49 + 7v + -7v Combine like terms: -7v + -7v = -14v 7 + -14v = -49 + 7v + -7v Combine like terms: 7v + -7v = 0 7 + -14v = -49 + 0 7 + -14v = -49 Add '-7' to each side of the equation. 7 + -7 + -14v = -49 + -7 Combine like terms: 7 + -7 = 0 0 + -14v = -49 + -7 -14v = -49 + -7 Combine like terms: -49 + -7 = -56 -14v = -56 Divide each side by '-14'. v = 4 Simplifying v = 4
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