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Simplifying -8 + 5(-7v + 8) = -6 + 32 Reorder the terms: -8 + 5(8 + -7v) = -6 + 32 -8 + (8 * 5 + -7v * 5) = -6 + 32 -8 + (40 + -35v) = -6 + 32 Combine like terms: -8 + 40 = 32 32 + -35v = -6 + 32 Combine like terms: -6 + 32 = 26 32 + -35v = 26 Solving 32 + -35v = 26 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -35v = 26 + -32 Combine like terms: 32 + -32 = 0 0 + -35v = 26 + -32 -35v = 26 + -32 Combine like terms: 26 + -32 = -6 -35v = -6 Divide each side by '-35'. v = 0.1714285714 Simplifying v = 0.1714285714
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