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Simplifying (v + 5)(-1.5) = 10 Reorder the terms: (5 + v)(-1.5) = 10 Reorder the terms for easier multiplication: -1.5(5 + v) = 10 (5 * -1.5 + v * -1.5) = 10 (-7.5 + -1.5v) = 10 Solving -7.5 + -1.5v = 10 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + -1.5v = 10 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -1.5v = 10 + 7.5 -1.5v = 10 + 7.5 Combine like terms: 10 + 7.5 = 17.5 -1.5v = 17.5 Divide each side by '-1.5'. v = -11.66666667 Simplifying v = -11.66666667
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