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Simplifying -3 + 3.5(1 + -8.5v) = 16.5 -3 + (1 * 3.5 + -8.5v * 3.5) = 16.5 -3 + (3.5 + -29.75v) = 16.5 Combine like terms: -3 + 3.5 = 0.5 0.5 + -29.75v = 16.5 Solving 0.5 + -29.75v = 16.5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + -29.75v = 16.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -29.75v = 16.5 + -0.5 -29.75v = 16.5 + -0.5 Combine like terms: 16.5 + -0.5 = 16 -29.75v = 16 Divide each side by '-29.75'. v = -0.5378151261 Simplifying v = -0.5378151261
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