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Simplifying -5(v + 2) + 2v + 5 = 5v + 10 Reorder the terms: -5(2 + v) + 2v + 5 = 5v + 10 (2 * -5 + v * -5) + 2v + 5 = 5v + 10 (-10 + -5v) + 2v + 5 = 5v + 10 Reorder the terms: -10 + 5 + -5v + 2v = 5v + 10 Combine like terms: -10 + 5 = -5 -5 + -5v + 2v = 5v + 10 Combine like terms: -5v + 2v = -3v -5 + -3v = 5v + 10 Reorder the terms: -5 + -3v = 10 + 5v Solving -5 + -3v = 10 + 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. -5 + -3v + -5v = 10 + 5v + -5v Combine like terms: -3v + -5v = -8v -5 + -8v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -5 + -8v = 10 + 0 -5 + -8v = 10 Add '5' to each side of the equation. -5 + 5 + -8v = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -8v = 10 + 5 -8v = 10 + 5 Combine like terms: 10 + 5 = 15 -8v = 15 Divide each side by '-8'. v = -1.875 Simplifying v = -1.875
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