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Simplifying -6.4(5.2v + 8) + 4.9 = 116.772 Reorder the terms: -6.4(8 + 5.2v) + 4.9 = 116.772 (8 * -6.4 + 5.2v * -6.4) + 4.9 = 116.772 (-51.2 + -33.28v) + 4.9 = 116.772 Reorder the terms: -51.2 + 4.9 + -33.28v = 116.772 Combine like terms: -51.2 + 4.9 = -46.3 -46.3 + -33.28v = 116.772 Solving -46.3 + -33.28v = 116.772 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '46.3' to each side of the equation. -46.3 + 46.3 + -33.28v = 116.772 + 46.3 Combine like terms: -46.3 + 46.3 = 0.0 0.0 + -33.28v = 116.772 + 46.3 -33.28v = 116.772 + 46.3 Combine like terms: 116.772 + 46.3 = 163.072 -33.28v = 163.072 Divide each side by '-33.28'. v = -4.9 Simplifying v = -4.9
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