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Simplifying V + -6 + 2(5v + 2) = -3(v + 3) Reorder the terms: V + -6 + 2(2 + 5v) = -3(v + 3) V + -6 + (2 * 2 + 5v * 2) = -3(v + 3) V + -6 + (4 + 10v) = -3(v + 3) Reorder the terms: -6 + 4 + V + 10v = -3(v + 3) Combine like terms: -6 + 4 = -2 -2 + V + 10v = -3(v + 3) Reorder the terms: -2 + V + 10v = -3(3 + v) -2 + V + 10v = (3 * -3 + v * -3) -2 + V + 10v = (-9 + -3v) Solving -2 + V + 10v = -9 + -3v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '2' to each side of the equation. -2 + V + 2 + 10v = -9 + 2 + -3v Reorder the terms: -2 + 2 + V + 10v = -9 + 2 + -3v Combine like terms: -2 + 2 = 0 0 + V + 10v = -9 + 2 + -3v V + 10v = -9 + 2 + -3v Combine like terms: -9 + 2 = -7 V + 10v = -7 + -3v Add '-10v' to each side of the equation. V + 10v + -10v = -7 + -3v + -10v Combine like terms: 10v + -10v = 0 V + 0 = -7 + -3v + -10v V = -7 + -3v + -10v Combine like terms: -3v + -10v = -13v V = -7 + -13v Simplifying V = -7 + -13v
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