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Simplifying 7v + 7 = -7(v + -7) Reorder the terms: 7 + 7v = -7(v + -7) Reorder the terms: 7 + 7v = -7(-7 + v) 7 + 7v = (-7 * -7 + v * -7) 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 = 42 14v = 42 Divide each side by '14'. v = 3 Simplifying v = 3
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