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Simplifying 2v + -34 = 8(v + 1) Reorder the terms: -34 + 2v = 8(v + 1) Reorder the terms: -34 + 2v = 8(1 + v) -34 + 2v = (1 * 8 + v * 8) -34 + 2v = (8 + 8v) Solving -34 + 2v = 8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -34 + 2v + -8v = 8 + 8v + -8v Combine like terms: 2v + -8v = -6v -34 + -6v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -34 + -6v = 8 + 0 -34 + -6v = 8 Add '34' to each side of the equation. -34 + 34 + -6v = 8 + 34 Combine like terms: -34 + 34 = 0 0 + -6v = 8 + 34 -6v = 8 + 34 Combine like terms: 8 + 34 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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