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