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Simplifying -8(v + 3) + 3v + 5 = 6V + 10 Reorder the terms: -8(3 + v) + 3v + 5 = 6V + 10 (3 * -8 + v * -8) + 3v + 5 = 6V + 10 (-24 + -8v) + 3v + 5 = 6V + 10 Reorder the terms: -24 + 5 + -8v + 3v = 6V + 10 Combine like terms: -24 + 5 = -19 -19 + -8v + 3v = 6V + 10 Combine like terms: -8v + 3v = -5v -19 + -5v = 6V + 10 Reorder the terms: -19 + -5v = 10 + 6V Solving -19 + -5v = 10 + 6V Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -5v = 10 + 19 + 6V Combine like terms: -19 + 19 = 0 0 + -5v = 10 + 19 + 6V -5v = 10 + 19 + 6V Combine like terms: 10 + 19 = 29 -5v = 29 + 6V Divide each side by '-5'. v = -5.8 + -1.2V Simplifying v = -5.8 + -1.2V
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