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Simplifying 6(3 + v) + 39v = 13v (3 * 6 + v * 6) + 39v = 13v (18 + 6v) + 39v = 13v Combine like terms: 6v + 39v = 45v 18 + 45v = 13v Solving 18 + 45v = 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 18 + 45v + -13v = 13v + -13v Combine like terms: 45v + -13v = 32v 18 + 32v = 13v + -13v Combine like terms: 13v + -13v = 0 18 + 32v = 0 Add '-18' to each side of the equation. 18 + -18 + 32v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 32v = 0 + -18 32v = 0 + -18 Combine like terms: 0 + -18 = -18 32v = -18 Divide each side by '32'. v = -0.5625 Simplifying v = -0.5625
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