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Simplifying 5(v + 2) = -3v + 34 Reorder the terms: 5(2 + v) = -3v + 34 (2 * 5 + v * 5) = -3v + 34 (10 + 5v) = -3v + 34 Reorder the terms: 10 + 5v = 34 + -3v Solving 10 + 5v = 34 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 10 + 5v + 3v = 34 + -3v + 3v Combine like terms: 5v + 3v = 8v 10 + 8v = 34 + -3v + 3v Combine like terms: -3v + 3v = 0 10 + 8v = 34 + 0 10 + 8v = 34 Add '-10' to each side of the equation. 10 + -10 + 8v = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 8v = 34 + -10 8v = 34 + -10 Combine like terms: 34 + -10 = 24 8v = 24 Divide each side by '8'. v = 3 Simplifying v = 3
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