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Simplifying -3(v + 5) = 7v + -4 + 4(2v + 1) Reorder the terms: -3(5 + v) = 7v + -4 + 4(2v + 1) (5 * -3 + v * -3) = 7v + -4 + 4(2v + 1) (-15 + -3v) = 7v + -4 + 4(2v + 1) Reorder the terms: -15 + -3v = 7v + -4 + 4(1 + 2v) -15 + -3v = 7v + -4 + (1 * 4 + 2v * 4) -15 + -3v = 7v + -4 + (4 + 8v) Reorder the terms: -15 + -3v = -4 + 4 + 7v + 8v Combine like terms: -4 + 4 = 0 -15 + -3v = 0 + 7v + 8v -15 + -3v = 7v + 8v Combine like terms: 7v + 8v = 15v -15 + -3v = 15v Solving -15 + -3v = 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 = 15v + -15v Combine like terms: -3v + -15v = -18v -15 + -18v = 15v + -15v Combine like terms: 15v + -15v = 0 -15 + -18v = 0 Add '15' to each side of the equation. -15 + 15 + -18v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -18v = 0 + 15 -18v = 0 + 15 Combine like terms: 0 + 15 = 15 -18v = 15 Divide each side by '-18'. v = -0.8333333333 Simplifying v = -0.8333333333
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