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Simplifying 2v + 44 = 7(v + 2) Reorder the terms: 44 + 2v = 7(v + 2) Reorder the terms: 44 + 2v = 7(2 + v) 44 + 2v = (2 * 7 + v * 7) 44 + 2v = (14 + 7v) Solving 44 + 2v = 14 + 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. 44 + 2v + -7v = 14 + 7v + -7v Combine like terms: 2v + -7v = -5v 44 + -5v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 44 + -5v = 14 + 0 44 + -5v = 14 Add '-44' to each side of the equation. 44 + -44 + -5v = 14 + -44 Combine like terms: 44 + -44 = 0 0 + -5v = 14 + -44 -5v = 14 + -44 Combine like terms: 14 + -44 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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