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Simplifying -6(V + 2) + 2V + 7 = 8V + 7 Reorder the terms: -6(2 + V) + 2V + 7 = 8V + 7 (2 * -6 + V * -6) + 2V + 7 = 8V + 7 (-12 + -6V) + 2V + 7 = 8V + 7 Reorder the terms: -12 + 7 + -6V + 2V = 8V + 7 Combine like terms: -12 + 7 = -5 -5 + -6V + 2V = 8V + 7 Combine like terms: -6V + 2V = -4V -5 + -4V = 8V + 7 Reorder the terms: -5 + -4V = 7 + 8V Solving -5 + -4V = 7 + 8V Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-8V' to each side of the equation. -5 + -4V + -8V = 7 + 8V + -8V Combine like terms: -4V + -8V = -12V -5 + -12V = 7 + 8V + -8V Combine like terms: 8V + -8V = 0 -5 + -12V = 7 + 0 -5 + -12V = 7 Add '5' to each side of the equation. -5 + 5 + -12V = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -12V = 7 + 5 -12V = 7 + 5 Combine like terms: 7 + 5 = 12 -12V = 12 Divide each side by '-12'. V = -1 Simplifying V = -1
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