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Simplifying -11.5 + v + -4.5 + -6.8v = 0.7 + 3.4 + 13.1 Reorder the terms: -11.5 + -4.5 + v + -6.8v = 0.7 + 3.4 + 13.1 Combine like terms: -11.5 + -4.5 = -16 -16 + v + -6.8v = 0.7 + 3.4 + 13.1 Combine like terms: v + -6.8v = -5.8v -16 + -5.8v = 0.7 + 3.4 + 13.1 Combine like terms: 0.7 + 3.4 = 4.1 -16 + -5.8v = 4.1 + 13.1 Combine like terms: 4.1 + 13.1 = 17.2 -16 + -5.8v = 17.2 Solving -16 + -5.8v = 17.2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5.8v = 17.2 + 16 Combine like terms: -16 + 16 = 0 0 + -5.8v = 17.2 + 16 -5.8v = 17.2 + 16 Combine like terms: 17.2 + 16 = 33.2 -5.8v = 33.2 Divide each side by '-5.8'. v = -5.724137931 Simplifying v = -5.724137931
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