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Simplifying -3(v + 6) = 3v + -6 + 3(4v + 1) Reorder the terms: -3(6 + v) = 3v + -6 + 3(4v + 1) (6 * -3 + v * -3) = 3v + -6 + 3(4v + 1) (-18 + -3v) = 3v + -6 + 3(4v + 1) Reorder the terms: -18 + -3v = 3v + -6 + 3(1 + 4v) -18 + -3v = 3v + -6 + (1 * 3 + 4v * 3) -18 + -3v = 3v + -6 + (3 + 12v) Reorder the terms: -18 + -3v = -6 + 3 + 3v + 12v Combine like terms: -6 + 3 = -3 -18 + -3v = -3 + 3v + 12v Combine like terms: 3v + 12v = 15v -18 + -3v = -3 + 15v Solving -18 + -3v = -3 + 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. -18 + -3v + -15v = -3 + 15v + -15v Combine like terms: -3v + -15v = -18v -18 + -18v = -3 + 15v + -15v Combine like terms: 15v + -15v = 0 -18 + -18v = -3 + 0 -18 + -18v = -3 Add '18' to each side of the equation. -18 + 18 + -18v = -3 + 18 Combine like terms: -18 + 18 = 0 0 + -18v = -3 + 18 -18v = -3 + 18 Combine like terms: -3 + 18 = 15 -18v = 15 Divide each side by '-18'. v = -0.8333333333 Simplifying v = -0.8333333333
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