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Simplifying v + 30 = 6v + -5(1 + 8v) Reorder the terms: 30 + v = 6v + -5(1 + 8v) 30 + v = 6v + (1 * -5 + 8v * -5) 30 + v = 6v + (-5 + -40v) Reorder the terms: 30 + v = -5 + 6v + -40v Combine like terms: 6v + -40v = -34v 30 + v = -5 + -34v Solving 30 + v = -5 + -34v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '34v' to each side of the equation. 30 + v + 34v = -5 + -34v + 34v Combine like terms: v + 34v = 35v 30 + 35v = -5 + -34v + 34v Combine like terms: -34v + 34v = 0 30 + 35v = -5 + 0 30 + 35v = -5 Add '-30' to each side of the equation. 30 + -30 + 35v = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 35v = -5 + -30 35v = -5 + -30 Combine like terms: -5 + -30 = -35 35v = -35 Divide each side by '35'. v = -1 Simplifying v = -1
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