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Simplifying 7v + -1(6 + -2y) = 12 7v + (6 * -1 + -2y * -1) = 12 7v + (-6 + 2y) = 12 Reorder the terms: -6 + 7v + 2y = 12 Solving -6 + 7v + 2y = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 7v + 6 + 2y = 12 + 6 Reorder the terms: -6 + 6 + 7v + 2y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 7v + 2y = 12 + 6 7v + 2y = 12 + 6 Combine like terms: 12 + 6 = 18 7v + 2y = 18 Add '-2y' to each side of the equation. 7v + 2y + -2y = 18 + -2y Combine like terms: 2y + -2y = 0 7v + 0 = 18 + -2y 7v = 18 + -2y Divide each side by '7'. v = 2.571428571 + -0.2857142857y Simplifying v = 2.571428571 + -0.2857142857y
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