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Simplifying -3(5v + -6) + 4v = 7(v + 4) Reorder the terms: -3(-6 + 5v) + 4v = 7(v + 4) (-6 * -3 + 5v * -3) + 4v = 7(v + 4) (18 + -15v) + 4v = 7(v + 4) Combine like terms: -15v + 4v = -11v 18 + -11v = 7(v + 4) Reorder the terms: 18 + -11v = 7(4 + v) 18 + -11v = (4 * 7 + v * 7) 18 + -11v = (28 + 7v) Solving 18 + -11v = 28 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 18 + -11v + -7v = 28 + 7v + -7v Combine like terms: -11v + -7v = -18v 18 + -18v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 18 + -18v = 28 + 0 18 + -18v = 28 Add '-18' to each side of the equation. 18 + -18 + -18v = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -18v = 28 + -18 -18v = 28 + -18 Combine like terms: 28 + -18 = 10 -18v = 10 Divide each side by '-18'. v = -0.5555555556 Simplifying v = -0.5555555556
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