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Simplifying 3(1 + 5v) + -4 = -4(-2v + -5) (1 * 3 + 5v * 3) + -4 = -4(-2v + -5) (3 + 15v) + -4 = -4(-2v + -5) Reorder the terms: 3 + -4 + 15v = -4(-2v + -5) Combine like terms: 3 + -4 = -1 -1 + 15v = -4(-2v + -5) Reorder the terms: -1 + 15v = -4(-5 + -2v) -1 + 15v = (-5 * -4 + -2v * -4) -1 + 15v = (20 + 8v) Solving -1 + 15v = 20 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -1 + 15v + -8v = 20 + 8v + -8v Combine like terms: 15v + -8v = 7v -1 + 7v = 20 + 8v + -8v Combine like terms: 8v + -8v = 0 -1 + 7v = 20 + 0 -1 + 7v = 20 Add '1' to each side of the equation. -1 + 1 + 7v = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 7v = 20 + 1 7v = 20 + 1 Combine like terms: 20 + 1 = 21 7v = 21 Divide each side by '7'. v = 3 Simplifying v = 3
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