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Simplifying 2(v + 4) = 7v + 18 Reorder the terms: 2(4 + v) = 7v + 18 (4 * 2 + v * 2) = 7v + 18 (8 + 2v) = 7v + 18 Reorder the terms: 8 + 2v = 18 + 7v Solving 8 + 2v = 18 + 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 + 2v + -7v = 18 + 7v + -7v Combine like terms: 2v + -7v = -5v 8 + -5v = 18 + 7v + -7v Combine like terms: 7v + -7v = 0 8 + -5v = 18 + 0 8 + -5v = 18 Add '-8' to each side of the equation. 8 + -8 + -5v = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = 18 + -8 -5v = 18 + -8 Combine like terms: 18 + -8 = 10 -5v = 10 Divide each side by '-5'. v = -2 Simplifying v = -2
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