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Simplifying V + -4 + -10 = -6(1 + 7v) + -7(v + -6) Reorder the terms: -4 + -10 + V = -6(1 + 7v) + -7(v + -6) Combine like terms: -4 + -10 = -14 -14 + V = -6(1 + 7v) + -7(v + -6) -14 + V = (1 * -6 + 7v * -6) + -7(v + -6) -14 + V = (-6 + -42v) + -7(v + -6) Reorder the terms: -14 + V = -6 + -42v + -7(-6 + v) -14 + V = -6 + -42v + (-6 * -7 + v * -7) -14 + V = -6 + -42v + (42 + -7v) Reorder the terms: -14 + V = -6 + 42 + -42v + -7v Combine like terms: -6 + 42 = 36 -14 + V = 36 + -42v + -7v Combine like terms: -42v + -7v = -49v -14 + V = 36 + -49v Solving -14 + V = 36 + -49v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + V = 36 + 14 + -49v Combine like terms: -14 + 14 = 0 0 + V = 36 + 14 + -49v V = 36 + 14 + -49v Combine like terms: 36 + 14 = 50 V = 50 + -49v Simplifying V = 50 + -49v
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