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Simplifying -3(1 + -7v) = 11v + -1(v + 3) (1 * -3 + -7v * -3) = 11v + -1(v + 3) (-3 + 21v) = 11v + -1(v + 3) Reorder the terms: -3 + 21v = 11v + -1(3 + v) -3 + 21v = 11v + (3 * -1 + v * -1) -3 + 21v = 11v + (-3 + -1v) Reorder the terms: -3 + 21v = -3 + 11v + -1v Combine like terms: 11v + -1v = 10v -3 + 21v = -3 + 10v Add '3' to each side of the equation. -3 + 3 + 21v = -3 + 3 + 10v Combine like terms: -3 + 3 = 0 0 + 21v = -3 + 3 + 10v 21v = -3 + 3 + 10v Combine like terms: -3 + 3 = 0 21v = 0 + 10v 21v = 10v Solving 21v = 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 21v + -10v = 10v + -10v Combine like terms: 21v + -10v = 11v 11v = 10v + -10v Combine like terms: 10v + -10v = 0 11v = 0 Divide each side by '11'. v = 0 Simplifying v = 0
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