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Simplifying -7(1 + -1v) + -1v = -7v + -33 (1 * -7 + -1v * -7) + -1v = -7v + -33 (-7 + 7v) + -1v = -7v + -33 Combine like terms: 7v + -1v = 6v -7 + 6v = -7v + -33 Reorder the terms: -7 + 6v = -33 + -7v Solving -7 + 6v = -33 + -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 + 6v + 7v = -33 + -7v + 7v Combine like terms: 6v + 7v = 13v -7 + 13v = -33 + -7v + 7v Combine like terms: -7v + 7v = 0 -7 + 13v = -33 + 0 -7 + 13v = -33 Add '7' to each side of the equation. -7 + 7 + 13v = -33 + 7 Combine like terms: -7 + 7 = 0 0 + 13v = -33 + 7 13v = -33 + 7 Combine like terms: -33 + 7 = -26 13v = -26 Divide each side by '13'. v = -2 Simplifying v = -2
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