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Simplifying -3(4V + 1) + 6V = 4(2V + -6) Reorder the terms: -3(1 + 4V) + 6V = 4(2V + -6) (1 * -3 + 4V * -3) + 6V = 4(2V + -6) (-3 + -12V) + 6V = 4(2V + -6) Combine like terms: -12V + 6V = -6V -3 + -6V = 4(2V + -6) Reorder the terms: -3 + -6V = 4(-6 + 2V) -3 + -6V = (-6 * 4 + 2V * 4) -3 + -6V = (-24 + 8V) Solving -3 + -6V = -24 + 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. -3 + -6V + -8V = -24 + 8V + -8V Combine like terms: -6V + -8V = -14V -3 + -14V = -24 + 8V + -8V Combine like terms: 8V + -8V = 0 -3 + -14V = -24 + 0 -3 + -14V = -24 Add '3' to each side of the equation. -3 + 3 + -14V = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -14V = -24 + 3 -14V = -24 + 3 Combine like terms: -24 + 3 = -21 -14V = -21 Divide each side by '-14'. V = 1.5 Simplifying V = 1.5
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