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Simplifying 8.734 + -4.1v = 2.2v + -4.4(1.6a + 7.7) Reorder the terms: 8.734 + -4.1v = 2.2v + -4.4(7.7 + 1.6a) 8.734 + -4.1v = 2.2v + (7.7 * -4.4 + 1.6a * -4.4) 8.734 + -4.1v = 2.2v + (-33.88 + -7.04a) Reorder the terms: 8.734 + -4.1v = -33.88 + -7.04a + 2.2v Solving 8.734 + -4.1v = -33.88 + -7.04a + 2.2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.2v' to each side of the equation. 8.734 + -4.1v + -2.2v = -33.88 + -7.04a + 2.2v + -2.2v Combine like terms: -4.1v + -2.2v = -6.3v 8.734 + -6.3v = -33.88 + -7.04a + 2.2v + -2.2v Combine like terms: 2.2v + -2.2v = 0.0 8.734 + -6.3v = -33.88 + -7.04a + 0.0 8.734 + -6.3v = -33.88 + -7.04a Add '-8.734' to each side of the equation. 8.734 + -8.734 + -6.3v = -33.88 + -8.734 + -7.04a Combine like terms: 8.734 + -8.734 = 0.000 0.000 + -6.3v = -33.88 + -8.734 + -7.04a -6.3v = -33.88 + -8.734 + -7.04a Combine like terms: -33.88 + -8.734 = -42.614 -6.3v = -42.614 + -7.04a Divide each side by '-6.3'. v = 6.764126984 + 1.117460317a Simplifying v = 6.764126984 + 1.117460317a
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