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Simplifying -18.04 + -4.9v + 1.6v = 14.7v + 4(-18.1v + 19.97) Combine like terms: -4.9v + 1.6v = -3.3v -18.04 + -3.3v = 14.7v + 4(-18.1v + 19.97) Reorder the terms: -18.04 + -3.3v = 14.7v + 4(19.97 + -18.1v) -18.04 + -3.3v = 14.7v + (19.97 * 4 + -18.1v * 4) -18.04 + -3.3v = 14.7v + (79.88 + -72.4v) Reorder the terms: -18.04 + -3.3v = 79.88 + 14.7v + -72.4v Combine like terms: 14.7v + -72.4v = -57.7v -18.04 + -3.3v = 79.88 + -57.7v Solving -18.04 + -3.3v = 79.88 + -57.7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '57.7v' to each side of the equation. -18.04 + -3.3v + 57.7v = 79.88 + -57.7v + 57.7v Combine like terms: -3.3v + 57.7v = 54.4v -18.04 + 54.4v = 79.88 + -57.7v + 57.7v Combine like terms: -57.7v + 57.7v = 0.0 -18.04 + 54.4v = 79.88 + 0.0 -18.04 + 54.4v = 79.88 Add '18.04' to each side of the equation. -18.04 + 18.04 + 54.4v = 79.88 + 18.04 Combine like terms: -18.04 + 18.04 = 0.00 0.00 + 54.4v = 79.88 + 18.04 54.4v = 79.88 + 18.04 Combine like terms: 79.88 + 18.04 = 97.92 54.4v = 97.92 Divide each side by '54.4'. v = 1.8 Simplifying v = 1.8
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