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Simplifying -5(3 + -8v) + 6(7 + -3v) = -39 (3 * -5 + -8v * -5) + 6(7 + -3v) = -39 (-15 + 40v) + 6(7 + -3v) = -39 -15 + 40v + (7 * 6 + -3v * 6) = -39 -15 + 40v + (42 + -18v) = -39 Reorder the terms: -15 + 42 + 40v + -18v = -39 Combine like terms: -15 + 42 = 27 27 + 40v + -18v = -39 Combine like terms: 40v + -18v = 22v 27 + 22v = -39 Solving 27 + 22v = -39 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 22v = -39 + -27 Combine like terms: 27 + -27 = 0 0 + 22v = -39 + -27 22v = -39 + -27 Combine like terms: -39 + -27 = -66 22v = -66 Divide each side by '22'. v = -3 Simplifying v = -3
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