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Simplifying -105 = -7(v + 7) Reorder the terms: -105 = -7(7 + v) -105 = (7 * -7 + v * -7) -105 = (-49 + -7v) Solving -105 = -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. -105 + 7v = -49 + -7v + 7v Combine like terms: -7v + 7v = 0 -105 + 7v = -49 + 0 -105 + 7v = -49 Add '105' to each side of the equation. -105 + 105 + 7v = -49 + 105 Combine like terms: -105 + 105 = 0 0 + 7v = -49 + 105 7v = -49 + 105 Combine like terms: -49 + 105 = 56 7v = 56 Divide each side by '7'. v = 8 Simplifying v = 8
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