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Simplifying -6v + 5(v + 4) = 2 + -7v Reorder the terms: -6v + 5(4 + v) = 2 + -7v -6v + (4 * 5 + v * 5) = 2 + -7v -6v + (20 + 5v) = 2 + -7v Reorder the terms: 20 + -6v + 5v = 2 + -7v Combine like terms: -6v + 5v = -1v 20 + -1v = 2 + -7v Solving 20 + -1v = 2 + -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. 20 + -1v + 7v = 2 + -7v + 7v Combine like terms: -1v + 7v = 6v 20 + 6v = 2 + -7v + 7v Combine like terms: -7v + 7v = 0 20 + 6v = 2 + 0 20 + 6v = 2 Add '-20' to each side of the equation. 20 + -20 + 6v = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 6v = 2 + -20 6v = 2 + -20 Combine like terms: 2 + -20 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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