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Simplifying 8(2v + 1) = 7v + 44 Reorder the terms: 8(1 + 2v) = 7v + 44 (1 * 8 + 2v * 8) = 7v + 44 (8 + 16v) = 7v + 44 Reorder the terms: 8 + 16v = 44 + 7v Solving 8 + 16v = 44 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 8 + 16v + -7v = 44 + 7v + -7v Combine like terms: 16v + -7v = 9v 8 + 9v = 44 + 7v + -7v Combine like terms: 7v + -7v = 0 8 + 9v = 44 + 0 8 + 9v = 44 Add '-8' to each side of the equation. 8 + -8 + 9v = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 9v = 44 + -8 9v = 44 + -8 Combine like terms: 44 + -8 = 36 9v = 36 Divide each side by '9'. v = 4 Simplifying v = 4
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