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Simplifying v + -4 + 1 = 3(7 + 3v) + -5(2 + 3v) Reorder the terms: -4 + 1 + v = 3(7 + 3v) + -5(2 + 3v) Combine like terms: -4 + 1 = -3 -3 + v = 3(7 + 3v) + -5(2 + 3v) -3 + v = (7 * 3 + 3v * 3) + -5(2 + 3v) -3 + v = (21 + 9v) + -5(2 + 3v) -3 + v = 21 + 9v + (2 * -5 + 3v * -5) -3 + v = 21 + 9v + (-10 + -15v) Reorder the terms: -3 + v = 21 + -10 + 9v + -15v Combine like terms: 21 + -10 = 11 -3 + v = 11 + 9v + -15v Combine like terms: 9v + -15v = -6v -3 + v = 11 + -6v Solving -3 + v = 11 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -3 + v + 6v = 11 + -6v + 6v Combine like terms: v + 6v = 7v -3 + 7v = 11 + -6v + 6v Combine like terms: -6v + 6v = 0 -3 + 7v = 11 + 0 -3 + 7v = 11 Add '3' to each side of the equation. -3 + 3 + 7v = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 7v = 11 + 3 7v = 11 + 3 Combine like terms: 11 + 3 = 14 7v = 14 Divide each side by '7'. v = 2 Simplifying v = 2
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