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Simplifying 2x + 12v + 4x + 18 = 66 Reorder the terms: 18 + 12v + 2x + 4x = 66 Combine like terms: 2x + 4x = 6x 18 + 12v + 6x = 66 Solving 18 + 12v + 6x = 66 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12v + -18 + 6x = 66 + -18 Reorder the terms: 18 + -18 + 12v + 6x = 66 + -18 Combine like terms: 18 + -18 = 0 0 + 12v + 6x = 66 + -18 12v + 6x = 66 + -18 Combine like terms: 66 + -18 = 48 12v + 6x = 48 Add '-6x' to each side of the equation. 12v + 6x + -6x = 48 + -6x Combine like terms: 6x + -6x = 0 12v + 0 = 48 + -6x 12v = 48 + -6x Divide each side by '12'. v = 4 + -0.5x Simplifying v = 4 + -0.5x
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