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Simplifying -7(v + -4) = 7v + -14 Reorder the terms: -7(-4 + v) = 7v + -14 (-4 * -7 + v * -7) = 7v + -14 (28 + -7v) = 7v + -14 Reorder the terms: 28 + -7v = -14 + 7v Solving 28 + -7v = -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. 28 + -7v + -7v = -14 + 7v + -7v Combine like terms: -7v + -7v = -14v 28 + -14v = -14 + 7v + -7v Combine like terms: 7v + -7v = 0 28 + -14v = -14 + 0 28 + -14v = -14 Add '-28' to each side of the equation. 28 + -28 + -14v = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -14v = -14 + -28 -14v = -14 + -28 Combine like terms: -14 + -28 = -42 -14v = -42 Divide each side by '-14'. v = 3 Simplifying v = 3
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