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Simplifying V + -5 + 5(2v + 2) = -7(v + 1) Reorder the terms: V + -5 + 5(2 + 2v) = -7(v + 1) V + -5 + (2 * 5 + 2v * 5) = -7(v + 1) V + -5 + (10 + 10v) = -7(v + 1) Reorder the terms: -5 + 10 + V + 10v = -7(v + 1) Combine like terms: -5 + 10 = 5 5 + V + 10v = -7(v + 1) Reorder the terms: 5 + V + 10v = -7(1 + v) 5 + V + 10v = (1 * -7 + v * -7) 5 + V + 10v = (-7 + -7v) Solving 5 + V + 10v = -7 + -7v 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 + V + -5 + 10v = -7 + -5 + -7v Reorder the terms: 5 + -5 + V + 10v = -7 + -5 + -7v Combine like terms: 5 + -5 = 0 0 + V + 10v = -7 + -5 + -7v V + 10v = -7 + -5 + -7v Combine like terms: -7 + -5 = -12 V + 10v = -12 + -7v Add '-10v' to each side of the equation. V + 10v + -10v = -12 + -7v + -10v Combine like terms: 10v + -10v = 0 V + 0 = -12 + -7v + -10v V = -12 + -7v + -10v Combine like terms: -7v + -10v = -17v V = -12 + -17v Simplifying V = -12 + -17v
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