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Simplifying -4.15(6.5 + -7.9v) = -6.8 + 6.9(2.2v + -0.5) (6.5 * -4.15 + -7.9v * -4.15) = -6.8 + 6.9(2.2v + -0.5) (-26.975 + 32.785v) = -6.8 + 6.9(2.2v + -0.5) Reorder the terms: -26.975 + 32.785v = -6.8 + 6.9(-0.5 + 2.2v) -26.975 + 32.785v = -6.8 + (-0.5 * 6.9 + 2.2v * 6.9) -26.975 + 32.785v = -6.8 + (-3.45 + 15.18v) Combine like terms: -6.8 + -3.45 = -10.25 -26.975 + 32.785v = -10.25 + 15.18v Solving -26.975 + 32.785v = -10.25 + 15.18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15.18v' to each side of the equation. -26.975 + 32.785v + -15.18v = -10.25 + 15.18v + -15.18v Combine like terms: 32.785v + -15.18v = 17.605v -26.975 + 17.605v = -10.25 + 15.18v + -15.18v Combine like terms: 15.18v + -15.18v = 0.00 -26.975 + 17.605v = -10.25 + 0.00 -26.975 + 17.605v = -10.25 Add '26.975' to each side of the equation. -26.975 + 26.975 + 17.605v = -10.25 + 26.975 Combine like terms: -26.975 + 26.975 = 0.000 0.000 + 17.605v = -10.25 + 26.975 17.605v = -10.25 + 26.975 Combine like terms: -10.25 + 26.975 = 16.725 17.605v = 16.725 Divide each side by '17.605'. v = 0.9500142005 Simplifying v = 0.9500142005
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