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Simplifying -2(9v + -1) + 7v = 4(v + 3) Reorder the terms: -2(-1 + 9v) + 7v = 4(v + 3) (-1 * -2 + 9v * -2) + 7v = 4(v + 3) (2 + -18v) + 7v = 4(v + 3) Combine like terms: -18v + 7v = -11v 2 + -11v = 4(v + 3) Reorder the terms: 2 + -11v = 4(3 + v) 2 + -11v = (3 * 4 + v * 4) 2 + -11v = (12 + 4v) Solving 2 + -11v = 12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 2 + -11v + -4v = 12 + 4v + -4v Combine like terms: -11v + -4v = -15v 2 + -15v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 2 + -15v = 12 + 0 2 + -15v = 12 Add '-2' to each side of the equation. 2 + -2 + -15v = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -15v = 12 + -2 -15v = 12 + -2 Combine like terms: 12 + -2 = 10 -15v = 10 Divide each side by '-15'. v = -0.6666666667 Simplifying v = -0.6666666667
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