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Simplifying 7v + 49 = -7(v + -1) Reorder the terms: 49 + 7v = -7(v + -1) Reorder the terms: 49 + 7v = -7(-1 + v) 49 + 7v = (-1 * -7 + v * -7) 49 + 7v = (7 + -7v) Solving 49 + 7v = 7 + -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. 49 + 7v + 7v = 7 + -7v + 7v Combine like terms: 7v + 7v = 14v 49 + 14v = 7 + -7v + 7v Combine like terms: -7v + 7v = 0 49 + 14v = 7 + 0 49 + 14v = 7 Add '-49' to each side of the equation. 49 + -49 + 14v = 7 + -49 Combine like terms: 49 + -49 = 0 0 + 14v = 7 + -49 14v = 7 + -49 Combine like terms: 7 + -49 = -42 14v = -42 Divide each side by '14'. v = -3 Simplifying v = -3
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