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Simplifying -40 + -8v = 6(8v + 3) + 2v Reorder the terms: -40 + -8v = 6(3 + 8v) + 2v -40 + -8v = (3 * 6 + 8v * 6) + 2v -40 + -8v = (18 + 48v) + 2v Combine like terms: 48v + 2v = 50v -40 + -8v = 18 + 50v Solving -40 + -8v = 18 + 50v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-50v' to each side of the equation. -40 + -8v + -50v = 18 + 50v + -50v Combine like terms: -8v + -50v = -58v -40 + -58v = 18 + 50v + -50v Combine like terms: 50v + -50v = 0 -40 + -58v = 18 + 0 -40 + -58v = 18 Add '40' to each side of the equation. -40 + 40 + -58v = 18 + 40 Combine like terms: -40 + 40 = 0 0 + -58v = 18 + 40 -58v = 18 + 40 Combine like terms: 18 + 40 = 58 -58v = 58 Divide each side by '-58'. v = -1 Simplifying v = -1
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