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Simplifying -29 + -3v = 8(4v + -7) Reorder the terms: -29 + -3v = 8(-7 + 4v) -29 + -3v = (-7 * 8 + 4v * 8) -29 + -3v = (-56 + 32v) Solving -29 + -3v = -56 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. -29 + -3v + -32v = -56 + 32v + -32v Combine like terms: -3v + -32v = -35v -29 + -35v = -56 + 32v + -32v Combine like terms: 32v + -32v = 0 -29 + -35v = -56 + 0 -29 + -35v = -56 Add '29' to each side of the equation. -29 + 29 + -35v = -56 + 29 Combine like terms: -29 + 29 = 0 0 + -35v = -56 + 29 -35v = -56 + 29 Combine like terms: -56 + 29 = -27 -35v = -27 Divide each side by '-35'. v = 0.7714285714 Simplifying v = 0.7714285714
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