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Simplifying -5(v + 2) = 5v + -5 + 3(2v + 3) Reorder the terms: -5(2 + v) = 5v + -5 + 3(2v + 3) (2 * -5 + v * -5) = 5v + -5 + 3(2v + 3) (-10 + -5v) = 5v + -5 + 3(2v + 3) Reorder the terms: -10 + -5v = 5v + -5 + 3(3 + 2v) -10 + -5v = 5v + -5 + (3 * 3 + 2v * 3) -10 + -5v = 5v + -5 + (9 + 6v) Reorder the terms: -10 + -5v = -5 + 9 + 5v + 6v Combine like terms: -5 + 9 = 4 -10 + -5v = 4 + 5v + 6v Combine like terms: 5v + 6v = 11v -10 + -5v = 4 + 11v Solving -10 + -5v = 4 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -10 + -5v + -11v = 4 + 11v + -11v Combine like terms: -5v + -11v = -16v -10 + -16v = 4 + 11v + -11v Combine like terms: 11v + -11v = 0 -10 + -16v = 4 + 0 -10 + -16v = 4 Add '10' to each side of the equation. -10 + 10 + -16v = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -16v = 4 + 10 -16v = 4 + 10 Combine like terms: 4 + 10 = 14 -16v = 14 Divide each side by '-16'. v = -0.875 Simplifying v = -0.875
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