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Simplifying -0.3(6.125 + 0.861v) = -5.8 + 7.1(7.2v + -0.5) (6.125 * -0.3 + 0.861v * -0.3) = -5.8 + 7.1(7.2v + -0.5) (-1.8375 + -0.2583v) = -5.8 + 7.1(7.2v + -0.5) Reorder the terms: -1.8375 + -0.2583v = -5.8 + 7.1(-0.5 + 7.2v) -1.8375 + -0.2583v = -5.8 + (-0.5 * 7.1 + 7.2v * 7.1) -1.8375 + -0.2583v = -5.8 + (-3.55 + 51.12v) Combine like terms: -5.8 + -3.55 = -9.35 -1.8375 + -0.2583v = -9.35 + 51.12v Solving -1.8375 + -0.2583v = -9.35 + 51.12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-51.12v' to each side of the equation. -1.8375 + -0.2583v + -51.12v = -9.35 + 51.12v + -51.12v Combine like terms: -0.2583v + -51.12v = -51.3783v -1.8375 + -51.3783v = -9.35 + 51.12v + -51.12v Combine like terms: 51.12v + -51.12v = 0.00 -1.8375 + -51.3783v = -9.35 + 0.00 -1.8375 + -51.3783v = -9.35 Add '1.8375' to each side of the equation. -1.8375 + 1.8375 + -51.3783v = -9.35 + 1.8375 Combine like terms: -1.8375 + 1.8375 = 0.0000 0.0000 + -51.3783v = -9.35 + 1.8375 -51.3783v = -9.35 + 1.8375 Combine like terms: -9.35 + 1.8375 = -7.5125 -51.3783v = -7.5125 Divide each side by '-51.3783'. v = 0.1462193183 Simplifying v = 0.1462193183
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