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Simplifying -3(5v + -6) + 4 = 7(v + 4) Reorder the terms: -3(-6 + 5v) + 4 = 7(v + 4) (-6 * -3 + 5v * -3) + 4 = 7(v + 4) (18 + -15v) + 4 = 7(v + 4) Reorder the terms: 18 + 4 + -15v = 7(v + 4) Combine like terms: 18 + 4 = 22 22 + -15v = 7(v + 4) Reorder the terms: 22 + -15v = 7(4 + v) 22 + -15v = (4 * 7 + v * 7) 22 + -15v = (28 + 7v) Solving 22 + -15v = 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. 22 + -15v + -7v = 28 + 7v + -7v Combine like terms: -15v + -7v = -22v 22 + -22v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 22 + -22v = 28 + 0 22 + -22v = 28 Add '-22' to each side of the equation. 22 + -22 + -22v = 28 + -22 Combine like terms: 22 + -22 = 0 0 + -22v = 28 + -22 -22v = 28 + -22 Combine like terms: 28 + -22 = 6 -22v = 6 Divide each side by '-22'. v = -0.2727272727 Simplifying v = -0.2727272727
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