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Simplifying -101.99 = -4.7(-3.4v + 6.4) Reorder the terms: -101.99 = -4.7(6.4 + -3.4v) -101.99 = (6.4 * -4.7 + -3.4v * -4.7) -101.99 = (-30.08 + 15.98v) Solving -101.99 = -30.08 + 15.98v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15.98v' to each side of the equation. -101.99 + -15.98v = -30.08 + 15.98v + -15.98v Combine like terms: 15.98v + -15.98v = 0.00 -101.99 + -15.98v = -30.08 + 0.00 -101.99 + -15.98v = -30.08 Add '101.99' to each side of the equation. -101.99 + 101.99 + -15.98v = -30.08 + 101.99 Combine like terms: -101.99 + 101.99 = 0.00 0.00 + -15.98v = -30.08 + 101.99 -15.98v = -30.08 + 101.99 Combine like terms: -30.08 + 101.99 = 71.91 -15.98v = 71.91 Divide each side by '-15.98'. v = -4.5 Simplifying v = -4.5
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