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Simplifying -84 = 3(5v + -7) + -3 Reorder the terms: -84 = 3(-7 + 5v) + -3 -84 = (-7 * 3 + 5v * 3) + -3 -84 = (-21 + 15v) + -3 Reorder the terms: -84 = -21 + -3 + 15v Combine like terms: -21 + -3 = -24 -84 = -24 + 15v Solving -84 = -24 + 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 = -24 + 15v + -15v Combine like terms: 15v + -15v = 0 -84 + -15v = -24 + 0 -84 + -15v = -24 Add '84' to each side of the equation. -84 + 84 + -15v = -24 + 84 Combine like terms: -84 + 84 = 0 0 + -15v = -24 + 84 -15v = -24 + 84 Combine like terms: -24 + 84 = 60 -15v = 60 Divide each side by '-15'. v = -4 Simplifying v = -4
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