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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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