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Simplifying -7 = 10v + -1(3v + 1) Reorder the terms: -7 = 10v + -1(1 + 3v) -7 = 10v + (1 * -1 + 3v * -1) -7 = 10v + (-1 + -3v) Reorder the terms: -7 = -1 + 10v + -3v Combine like terms: 10v + -3v = 7v -7 = -1 + 7v Solving -7 = -1 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -7 + -7v = -1 + 7v + -7v Combine like terms: 7v + -7v = 0 -7 + -7v = -1 + 0 -7 + -7v = -1 Add '7' to each side of the equation. -7 + 7 + -7v = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -7v = -1 + 7 -7v = -1 + 7 Combine like terms: -1 + 7 = 6 -7v = 6 Divide each side by '-7'. v = -0.8571428571 Simplifying v = -0.8571428571
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