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Simplifying -5(v + 2) = 5v + -2 + 2(4v + 3) Reorder the terms: -5(2 + v) = 5v + -2 + 2(4v + 3) (2 * -5 + v * -5) = 5v + -2 + 2(4v + 3) (-10 + -5v) = 5v + -2 + 2(4v + 3) Reorder the terms: -10 + -5v = 5v + -2 + 2(3 + 4v) -10 + -5v = 5v + -2 + (3 * 2 + 4v * 2) -10 + -5v = 5v + -2 + (6 + 8v) Reorder the terms: -10 + -5v = -2 + 6 + 5v + 8v Combine like terms: -2 + 6 = 4 -10 + -5v = 4 + 5v + 8v Combine like terms: 5v + 8v = 13v -10 + -5v = 4 + 13v Solving -10 + -5v = 4 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -10 + -5v + -13v = 4 + 13v + -13v Combine like terms: -5v + -13v = -18v -10 + -18v = 4 + 13v + -13v Combine like terms: 13v + -13v = 0 -10 + -18v = 4 + 0 -10 + -18v = 4 Add '10' to each side of the equation. -10 + 10 + -18v = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -18v = 4 + 10 -18v = 4 + 10 Combine like terms: 4 + 10 = 14 -18v = 14 Divide each side by '-18'. v = -0.7777777778 Simplifying v = -0.7777777778
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