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Simplifying -4(v + 3) + 2v + 7 = 6V + 8 Reorder the terms: -4(3 + v) + 2v + 7 = 6V + 8 (3 * -4 + v * -4) + 2v + 7 = 6V + 8 (-12 + -4v) + 2v + 7 = 6V + 8 Reorder the terms: -12 + 7 + -4v + 2v = 6V + 8 Combine like terms: -12 + 7 = -5 -5 + -4v + 2v = 6V + 8 Combine like terms: -4v + 2v = -2v -5 + -2v = 6V + 8 Reorder the terms: -5 + -2v = 8 + 6V Solving -5 + -2v = 8 + 6V Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2v = 8 + 5 + 6V Combine like terms: -5 + 5 = 0 0 + -2v = 8 + 5 + 6V -2v = 8 + 5 + 6V Combine like terms: 8 + 5 = 13 -2v = 13 + 6V Divide each side by '-2'. v = -6.5 + -3V Simplifying v = -6.5 + -3V
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