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Simplifying -28 + 3v = 8(6v + -5) Reorder the terms: -28 + 3v = 8(-5 + 6v) -28 + 3v = (-5 * 8 + 6v * 8) -28 + 3v = (-40 + 48v) Solving -28 + 3v = -40 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. -28 + 3v + -48v = -40 + 48v + -48v Combine like terms: 3v + -48v = -45v -28 + -45v = -40 + 48v + -48v Combine like terms: 48v + -48v = 0 -28 + -45v = -40 + 0 -28 + -45v = -40 Add '28' to each side of the equation. -28 + 28 + -45v = -40 + 28 Combine like terms: -28 + 28 = 0 0 + -45v = -40 + 28 -45v = -40 + 28 Combine like terms: -40 + 28 = -12 -45v = -12 Divide each side by '-45'. v = 0.2666666667 Simplifying v = 0.2666666667
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