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Simplifying 8(9v + -3) = -30 + -7v Reorder the terms: 8(-3 + 9v) = -30 + -7v (-3 * 8 + 9v * 8) = -30 + -7v (-24 + 72v) = -30 + -7v Solving -24 + 72v = -30 + -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. -24 + 72v + 7v = -30 + -7v + 7v Combine like terms: 72v + 7v = 79v -24 + 79v = -30 + -7v + 7v Combine like terms: -7v + 7v = 0 -24 + 79v = -30 + 0 -24 + 79v = -30 Add '24' to each side of the equation. -24 + 24 + 79v = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 79v = -30 + 24 79v = -30 + 24 Combine like terms: -30 + 24 = -6 79v = -6 Divide each side by '79'. v = -0.07594936709 Simplifying v = -0.07594936709
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