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Simplifying -3(v + 5) = 5v + -6 + 5(2v + 1) Reorder the terms: -3(5 + v) = 5v + -6 + 5(2v + 1) (5 * -3 + v * -3) = 5v + -6 + 5(2v + 1) (-15 + -3v) = 5v + -6 + 5(2v + 1) Reorder the terms: -15 + -3v = 5v + -6 + 5(1 + 2v) -15 + -3v = 5v + -6 + (1 * 5 + 2v * 5) -15 + -3v = 5v + -6 + (5 + 10v) Reorder the terms: -15 + -3v = -6 + 5 + 5v + 10v Combine like terms: -6 + 5 = -1 -15 + -3v = -1 + 5v + 10v Combine like terms: 5v + 10v = 15v -15 + -3v = -1 + 15v Solving -15 + -3v = -1 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -15 + -3v + -15v = -1 + 15v + -15v Combine like terms: -3v + -15v = -18v -15 + -18v = -1 + 15v + -15v Combine like terms: 15v + -15v = 0 -15 + -18v = -1 + 0 -15 + -18v = -1 Add '15' to each side of the equation. -15 + 15 + -18v = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -18v = -1 + 15 -18v = -1 + 15 Combine like terms: -1 + 15 = 14 -18v = 14 Divide each side by '-18'. v = -0.7777777778 Simplifying v = -0.7777777778
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