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Simplifying 6(3 + v) + 36v = 10v (3 * 6 + v * 6) + 36v = 10v (18 + 6v) + 36v = 10v Combine like terms: 6v + 36v = 42v 18 + 42v = 10v Solving 18 + 42v = 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 18 + 42v + -10v = 10v + -10v Combine like terms: 42v + -10v = 32v 18 + 32v = 10v + -10v Combine like terms: 10v + -10v = 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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