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Simplifying 5(v + 2) = 9v + 26 Reorder the terms: 5(2 + v) = 9v + 26 (2 * 5 + v * 5) = 9v + 26 (10 + 5v) = 9v + 26 Reorder the terms: 10 + 5v = 26 + 9v Solving 10 + 5v = 26 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 10 + 5v + -9v = 26 + 9v + -9v Combine like terms: 5v + -9v = -4v 10 + -4v = 26 + 9v + -9v Combine like terms: 9v + -9v = 0 10 + -4v = 26 + 0 10 + -4v = 26 Add '-10' to each side of the equation. 10 + -10 + -4v = 26 + -10 Combine like terms: 10 + -10 = 0 0 + -4v = 26 + -10 -4v = 26 + -10 Combine like terms: 26 + -10 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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