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Simplifying 2(v + 1) + 4v = 3(2x + -1) + 8 Reorder the terms: 2(1 + v) + 4v = 3(2x + -1) + 8 (1 * 2 + v * 2) + 4v = 3(2x + -1) + 8 (2 + 2v) + 4v = 3(2x + -1) + 8 Combine like terms: 2v + 4v = 6v 2 + 6v = 3(2x + -1) + 8 Reorder the terms: 2 + 6v = 3(-1 + 2x) + 8 2 + 6v = (-1 * 3 + 2x * 3) + 8 2 + 6v = (-3 + 6x) + 8 Reorder the terms: 2 + 6v = -3 + 8 + 6x Combine like terms: -3 + 8 = 5 2 + 6v = 5 + 6x Solving 2 + 6v = 5 + 6x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6v = 5 + -2 + 6x Combine like terms: 2 + -2 = 0 0 + 6v = 5 + -2 + 6x 6v = 5 + -2 + 6x Combine like terms: 5 + -2 = 3 6v = 3 + 6x Divide each side by '6'. v = 0.5 + x Simplifying v = 0.5 + x
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