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Simplifying 15 = -6(1 + 5v) + 7(3 + -6V) 15 = (1 * -6 + 5v * -6) + 7(3 + -6V) 15 = (-6 + -30v) + 7(3 + -6V) 15 = -6 + -30v + (3 * 7 + -6V * 7) 15 = -6 + -30v + (21 + -42V) Reorder the terms: 15 = -6 + 21 + -42V + -30v Combine like terms: -6 + 21 = 15 15 = 15 + -42V + -30v Add '-15' to each side of the equation. 15 + -15 = 15 + -42V + -15 + -30v Combine like terms: 15 + -15 = 0 0 = 15 + -42V + -15 + -30v Reorder the terms: 0 = 15 + -15 + -42V + -30v Combine like terms: 15 + -15 = 0 0 = 0 + -42V + -30v 0 = -42V + -30v Solving 0 = -42V + -30v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '42V' to each side of the equation. 0 + 42V = -42V + 42V + -30v Remove the zero: 42V = -42V + 42V + -30v Combine like terms: -42V + 42V = 0 42V = 0 + -30v 42V = -30v Divide each side by '42'. V = -0.7142857143v Simplifying V = -0.7142857143v
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