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Simplifying 7(v + -7) = -84 Reorder the terms: 7(-7 + v) = -84 (-7 * 7 + v * 7) = -84 (-49 + 7v) = -84 Solving -49 + 7v = -84 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 7v = -84 + 49 Combine like terms: -49 + 49 = 0 0 + 7v = -84 + 49 7v = -84 + 49 Combine like terms: -84 + 49 = -35 7v = -35 Divide each side by '7'. v = -5 Simplifying v = -5
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