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Simplifying 1 + 7v = -2(5 + -7v) + -3 1 + 7v = (5 * -2 + -7v * -2) + -3 1 + 7v = (-10 + 14v) + -3 Reorder the terms: 1 + 7v = -10 + -3 + 14v Combine like terms: -10 + -3 = -13 1 + 7v = -13 + 14v Solving 1 + 7v = -13 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 1 + 7v + -14v = -13 + 14v + -14v Combine like terms: 7v + -14v = -7v 1 + -7v = -13 + 14v + -14v Combine like terms: 14v + -14v = 0 1 + -7v = -13 + 0 1 + -7v = -13 Add '-1' to each side of the equation. 1 + -1 + -7v = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -7v = -13 + -1 -7v = -13 + -1 Combine like terms: -13 + -1 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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