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Simplifying 3v + 8(-3 + -7v) = 29 3v + (-3 * 8 + -7v * 8) = 29 3v + (-24 + -56v) = 29 Reorder the terms: -24 + 3v + -56v = 29 Combine like terms: 3v + -56v = -53v -24 + -53v = 29 Solving -24 + -53v = 29 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -53v = 29 + 24 Combine like terms: -24 + 24 = 0 0 + -53v = 29 + 24 -53v = 29 + 24 Combine like terms: 29 + 24 = 53 -53v = 53 Divide each side by '-53'. v = -1 Simplifying v = -1
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