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Simplifying -84 = -7(v + -3) + -8v Reorder the terms: -84 = -7(-3 + v) + -8v -84 = (-3 * -7 + v * -7) + -8v -84 = (21 + -7v) + -8v Combine like terms: -7v + -8v = -15v -84 = 21 + -15v Solving -84 = 21 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -84 + 15v = 21 + -15v + 15v Combine like terms: -15v + 15v = 0 -84 + 15v = 21 + 0 -84 + 15v = 21 Add '84' to each side of the equation. -84 + 84 + 15v = 21 + 84 Combine like terms: -84 + 84 = 0 0 + 15v = 21 + 84 15v = 21 + 84 Combine like terms: 21 + 84 = 105 15v = 105 Divide each side by '15'. v = 7 Simplifying v = 7
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