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Simplifying 6(2 + v) + 36v = 10v (2 * 6 + v * 6) + 36v = 10v (12 + 6v) + 36v = 10v Combine like terms: 6v + 36v = 42v 12 + 42v = 10v Solving 12 + 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. 12 + 42v + -10v = 10v + -10v Combine like terms: 42v + -10v = 32v 12 + 32v = 10v + -10v Combine like terms: 10v + -10v = 0 12 + 32v = 0 Add '-12' to each side of the equation. 12 + -12 + 32v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 32v = 0 + -12 32v = 0 + -12 Combine like terms: 0 + -12 = -12 32v = -12 Divide each side by '32'. v = -0.375 Simplifying v = -0.375
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