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Simplifying 5v + -7(3 + 2v) = -84 5v + (3 * -7 + 2v * -7) = -84 5v + (-21 + -14v) = -84 Reorder the terms: -21 + 5v + -14v = -84 Combine like terms: 5v + -14v = -9v -21 + -9v = -84 Solving -21 + -9v = -84 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -9v = -84 + 21 Combine like terms: -21 + 21 = 0 0 + -9v = -84 + 21 -9v = -84 + 21 Combine like terms: -84 + 21 = -63 -9v = -63 Divide each side by '-9'. v = 7 Simplifying v = 7
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