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Simplifying -22 + -5v = 6v + -5(v + 8) Reorder the terms: -22 + -5v = 6v + -5(8 + v) -22 + -5v = 6v + (8 * -5 + v * -5) -22 + -5v = 6v + (-40 + -5v) Reorder the terms: -22 + -5v = -40 + 6v + -5v Combine like terms: 6v + -5v = 1v -22 + -5v = -40 + 1v Solving -22 + -5v = -40 + 1v 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. -22 + -5v + -1v = -40 + 1v + -1v Combine like terms: -5v + -1v = -6v -22 + -6v = -40 + 1v + -1v Combine like terms: 1v + -1v = 0 -22 + -6v = -40 + 0 -22 + -6v = -40 Add '22' to each side of the equation. -22 + 22 + -6v = -40 + 22 Combine like terms: -22 + 22 = 0 0 + -6v = -40 + 22 -6v = -40 + 22 Combine like terms: -40 + 22 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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