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Simplifying 7.1 + 7.1(0.07v + -4.6) = -0.23 + -7.2(1 + 1.2v) Reorder the terms: 7.1 + 7.1(-4.6 + 0.07v) = -0.23 + -7.2(1 + 1.2v) 7.1 + (-4.6 * 7.1 + 0.07v * 7.1) = -0.23 + -7.2(1 + 1.2v) 7.1 + (-32.66 + 0.497v) = -0.23 + -7.2(1 + 1.2v) Combine like terms: 7.1 + -32.66 = -25.56 -25.56 + 0.497v = -0.23 + -7.2(1 + 1.2v) -25.56 + 0.497v = -0.23 + (1 * -7.2 + 1.2v * -7.2) -25.56 + 0.497v = -0.23 + (-7.2 + -8.64v) Combine like terms: -0.23 + -7.2 = -7.43 -25.56 + 0.497v = -7.43 + -8.64v Solving -25.56 + 0.497v = -7.43 + -8.64v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8.64v' to each side of the equation. -25.56 + 0.497v + 8.64v = -7.43 + -8.64v + 8.64v Combine like terms: 0.497v + 8.64v = 9.137v -25.56 + 9.137v = -7.43 + -8.64v + 8.64v Combine like terms: -8.64v + 8.64v = 0.00 -25.56 + 9.137v = -7.43 + 0.00 -25.56 + 9.137v = -7.43 Add '25.56' to each side of the equation. -25.56 + 25.56 + 9.137v = -7.43 + 25.56 Combine like terms: -25.56 + 25.56 = 0.00 0.00 + 9.137v = -7.43 + 25.56 9.137v = -7.43 + 25.56 Combine like terms: -7.43 + 25.56 = 18.13 9.137v = 18.13 Divide each side by '9.137'. v = 1.984239904 Simplifying v = 1.984239904
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