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Simplifying -5(20v + -68) = 90(v + -30) Reorder the terms: -5(-68 + 20v) = 90(v + -30) (-68 * -5 + 20v * -5) = 90(v + -30) (340 + -100v) = 90(v + -30) Reorder the terms: 340 + -100v = 90(-30 + v) 340 + -100v = (-30 * 90 + v * 90) 340 + -100v = (-2700 + 90v) Solving 340 + -100v = -2700 + 90v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-90v' to each side of the equation. 340 + -100v + -90v = -2700 + 90v + -90v Combine like terms: -100v + -90v = -190v 340 + -190v = -2700 + 90v + -90v Combine like terms: 90v + -90v = 0 340 + -190v = -2700 + 0 340 + -190v = -2700 Add '-340' to each side of the equation. 340 + -340 + -190v = -2700 + -340 Combine like terms: 340 + -340 = 0 0 + -190v = -2700 + -340 -190v = -2700 + -340 Combine like terms: -2700 + -340 = -3040 -190v = -3040 Divide each side by '-190'. v = 16 Simplifying v = 16
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