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