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Simplifying -8(3v + -5) + 5 = -8v + 13 Reorder the terms: -8(-5 + 3v) + 5 = -8v + 13 (-5 * -8 + 3v * -8) + 5 = -8v + 13 (40 + -24v) + 5 = -8v + 13 Reorder the terms: 40 + 5 + -24v = -8v + 13 Combine like terms: 40 + 5 = 45 45 + -24v = -8v + 13 Reorder the terms: 45 + -24v = 13 + -8v Solving 45 + -24v = 13 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 45 + -24v + 8v = 13 + -8v + 8v Combine like terms: -24v + 8v = -16v 45 + -16v = 13 + -8v + 8v Combine like terms: -8v + 8v = 0 45 + -16v = 13 + 0 45 + -16v = 13 Add '-45' to each side of the equation. 45 + -45 + -16v = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -16v = 13 + -45 -16v = 13 + -45 Combine like terms: 13 + -45 = -32 -16v = -32 Divide each side by '-16'. v = 2 Simplifying v = 2
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