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Simplifying 144 = 6v + 6(8 + 7v) 144 = 6v + (8 * 6 + 7v * 6) 144 = 6v + (48 + 42v) Reorder the terms: 144 = 48 + 6v + 42v Combine like terms: 6v + 42v = 48v 144 = 48 + 48v Solving 144 = 48 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. 144 + -48v = 48 + 48v + -48v Combine like terms: 48v + -48v = 0 144 + -48v = 48 + 0 144 + -48v = 48 Add '-144' to each side of the equation. 144 + -144 + -48v = 48 + -144 Combine like terms: 144 + -144 = 0 0 + -48v = 48 + -144 -48v = 48 + -144 Combine like terms: 48 + -144 = -96 -48v = -96 Divide each side by '-48'. v = 2 Simplifying v = 2
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