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Simplifying 8v + 22 = -5(v + -7) Reorder the terms: 22 + 8v = -5(v + -7) Reorder the terms: 22 + 8v = -5(-7 + v) 22 + 8v = (-7 * -5 + v * -5) 22 + 8v = (35 + -5v) Solving 22 + 8v = 35 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 22 + 8v + 5v = 35 + -5v + 5v Combine like terms: 8v + 5v = 13v 22 + 13v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 22 + 13v = 35 + 0 22 + 13v = 35 Add '-22' to each side of the equation. 22 + -22 + 13v = 35 + -22 Combine like terms: 22 + -22 = 0 0 + 13v = 35 + -22 13v = 35 + -22 Combine like terms: 35 + -22 = 13 13v = 13 Divide each side by '13'. v = 1 Simplifying v = 1
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