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