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Simplifying -9 + -5(1 + 8v) = -29.5 -9 + (1 * -5 + 8v * -5) = -29.5 -9 + (-5 + -40v) = -29.5 Combine like terms: -9 + -5 = -14 -14 + -40v = -29.5 Solving -14 + -40v = -29.5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -40v = -29.5 + 14 Combine like terms: -14 + 14 = 0 0 + -40v = -29.5 + 14 -40v = -29.5 + 14 Combine like terms: -29.5 + 14 = -15.5 -40v = -15.5 Divide each side by '-40'. v = 0.3875 Simplifying v = 0.3875
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