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Simplifying 19.84 + 13.88 + -1.9v = 7(-2.1v + -19.98) + -19.7 Combine like terms: 19.84 + 13.88 = 33.72 33.72 + -1.9v = 7(-2.1v + -19.98) + -19.7 Reorder the terms: 33.72 + -1.9v = 7(-19.98 + -2.1v) + -19.7 33.72 + -1.9v = (-19.98 * 7 + -2.1v * 7) + -19.7 33.72 + -1.9v = (-139.86 + -14.7v) + -19.7 Reorder the terms: 33.72 + -1.9v = -139.86 + -19.7 + -14.7v Combine like terms: -139.86 + -19.7 = -159.56 33.72 + -1.9v = -159.56 + -14.7v Solving 33.72 + -1.9v = -159.56 + -14.7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14.7v' to each side of the equation. 33.72 + -1.9v + 14.7v = -159.56 + -14.7v + 14.7v Combine like terms: -1.9v + 14.7v = 12.8v 33.72 + 12.8v = -159.56 + -14.7v + 14.7v Combine like terms: -14.7v + 14.7v = 0.0 33.72 + 12.8v = -159.56 + 0.0 33.72 + 12.8v = -159.56 Add '-33.72' to each side of the equation. 33.72 + -33.72 + 12.8v = -159.56 + -33.72 Combine like terms: 33.72 + -33.72 = 0.00 0.00 + 12.8v = -159.56 + -33.72 12.8v = -159.56 + -33.72 Combine like terms: -159.56 + -33.72 = -193.28 12.8v = -193.28 Divide each side by '12.8'. v = -15.1 Simplifying v = -15.1
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