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Simplifying 8 + -5(v + 3) = -2v + -8 Reorder the terms: 8 + -5(3 + v) = -2v + -8 8 + (3 * -5 + v * -5) = -2v + -8 8 + (-15 + -5v) = -2v + -8 Combine like terms: 8 + -15 = -7 -7 + -5v = -2v + -8 Reorder the terms: -7 + -5v = -8 + -2v Solving -7 + -5v = -8 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -7 + -5v + 2v = -8 + -2v + 2v Combine like terms: -5v + 2v = -3v -7 + -3v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 -7 + -3v = -8 + 0 -7 + -3v = -8 Add '7' to each side of the equation. -7 + 7 + -3v = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -3v = -8 + 7 -3v = -8 + 7 Combine like terms: -8 + 7 = -1 -3v = -1 Divide each side by '-3'. v = 0.3333333333 Simplifying v = 0.3333333333
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