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Simplifying 0.8 = 8v + -1(v + 8) Reorder the terms: 0.8 = 8v + -1(8 + v) 0.8 = 8v + (8 * -1 + v * -1) 0.8 = 8v + (-8 + -1v) Reorder the terms: 0.8 = -8 + 8v + -1v Combine like terms: 8v + -1v = 7v 0.8 = -8 + 7v Solving 0.8 = -8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 0.8 + -7v = -8 + 7v + -7v Combine like terms: 7v + -7v = 0 0.8 + -7v = -8 + 0 0.8 + -7v = -8 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -7v = -8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -7v = -8 + -0.8 -7v = -8 + -0.8 Combine like terms: -8 + -0.8 = -8.8 -7v = -8.8 Divide each side by '-7'. v = 1.257142857 Simplifying v = 1.257142857
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