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Simplifying -84 = -7(v + 7) Reorder the terms: -84 = -7(7 + v) -84 = (7 * -7 + v * -7) -84 = (-49 + -7v) Solving -84 = -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. -84 + 7v = -49 + -7v + 7v Combine like terms: -7v + 7v = 0 -84 + 7v = -49 + 0 -84 + 7v = -49 Add '84' to each side of the equation. -84 + 84 + 7v = -49 + 84 Combine like terms: -84 + 84 = 0 0 + 7v = -49 + 84 7v = -49 + 84 Combine like terms: -49 + 84 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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