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Simplifying 2(v + -1) + 8 = 6(2x + -4) Reorder the terms: 2(-1 + v) + 8 = 6(2x + -4) (-1 * 2 + v * 2) + 8 = 6(2x + -4) (-2 + 2v) + 8 = 6(2x + -4) Reorder the terms: -2 + 8 + 2v = 6(2x + -4) Combine like terms: -2 + 8 = 6 6 + 2v = 6(2x + -4) Reorder the terms: 6 + 2v = 6(-4 + 2x) 6 + 2v = (-4 * 6 + 2x * 6) 6 + 2v = (-24 + 12x) Solving 6 + 2v = -24 + 12x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2v = -24 + -6 + 12x Combine like terms: 6 + -6 = 0 0 + 2v = -24 + -6 + 12x 2v = -24 + -6 + 12x Combine like terms: -24 + -6 = -30 2v = -30 + 12x Divide each side by '2'. v = -15 + 6x Simplifying v = -15 + 6x
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