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Simplifying -5(v + 3) + 2v + 5 = 5v + 8 Reorder the terms: -5(3 + v) + 2v + 5 = 5v + 8 (3 * -5 + v * -5) + 2v + 5 = 5v + 8 (-15 + -5v) + 2v + 5 = 5v + 8 Reorder the terms: -15 + 5 + -5v + 2v = 5v + 8 Combine like terms: -15 + 5 = -10 -10 + -5v + 2v = 5v + 8 Combine like terms: -5v + 2v = -3v -10 + -3v = 5v + 8 Reorder the terms: -10 + -3v = 8 + 5v Solving -10 + -3v = 8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -10 + -3v + -5v = 8 + 5v + -5v Combine like terms: -3v + -5v = -8v -10 + -8v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -10 + -8v = 8 + 0 -10 + -8v = 8 Add '10' to each side of the equation. -10 + 10 + -8v = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -8v = 8 + 10 -8v = 8 + 10 Combine like terms: 8 + 10 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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