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Simplifying -7 + -2(1 + -7v) = v + -22 -7 + (1 * -2 + -7v * -2) = v + -22 -7 + (-2 + 14v) = v + -22 Combine like terms: -7 + -2 = -9 -9 + 14v = v + -22 Reorder the terms: -9 + 14v = -22 + v Solving -9 + 14v = -22 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -9 + 14v + -1v = -22 + v + -1v Combine like terms: 14v + -1v = 13v -9 + 13v = -22 + v + -1v Combine like terms: v + -1v = 0 -9 + 13v = -22 + 0 -9 + 13v = -22 Add '9' to each side of the equation. -9 + 9 + 13v = -22 + 9 Combine like terms: -9 + 9 = 0 0 + 13v = -22 + 9 13v = -22 + 9 Combine like terms: -22 + 9 = -13 13v = -13 Divide each side by '13'. v = -1 Simplifying v = -1
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