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Simplifying 3(7 + -2v) + 1 = -5(v + -2) (7 * 3 + -2v * 3) + 1 = -5(v + -2) (21 + -6v) + 1 = -5(v + -2) Reorder the terms: 21 + 1 + -6v = -5(v + -2) Combine like terms: 21 + 1 = 22 22 + -6v = -5(v + -2) Reorder the terms: 22 + -6v = -5(-2 + v) 22 + -6v = (-2 * -5 + v * -5) 22 + -6v = (10 + -5v) Solving 22 + -6v = 10 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 22 + -6v + 5v = 10 + -5v + 5v Combine like terms: -6v + 5v = -1v 22 + -1v = 10 + -5v + 5v Combine like terms: -5v + 5v = 0 22 + -1v = 10 + 0 22 + -1v = 10 Add '-22' to each side of the equation. 22 + -22 + -1v = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -1v = 10 + -22 -1v = 10 + -22 Combine like terms: 10 + -22 = -12 -1v = -12 Divide each side by '-1'. v = 12 Simplifying v = 12
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