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Simplifying 4(v + 6) = 10v + 4(v + 6) Reorder the terms: 4(6 + v) = 10v + 4(v + 6) (6 * 4 + v * 4) = 10v + 4(v + 6) (24 + 4v) = 10v + 4(v + 6) Reorder the terms: 24 + 4v = 10v + 4(6 + v) 24 + 4v = 10v + (6 * 4 + v * 4) 24 + 4v = 10v + (24 + 4v) Reorder the terms: 24 + 4v = 24 + 10v + 4v Combine like terms: 10v + 4v = 14v 24 + 4v = 24 + 14v Add '-24' to each side of the equation. 24 + -24 + 4v = 24 + -24 + 14v Combine like terms: 24 + -24 = 0 0 + 4v = 24 + -24 + 14v 4v = 24 + -24 + 14v Combine like terms: 24 + -24 = 0 4v = 0 + 14v 4v = 14v Solving 4v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 4v + -14v = 14v + -14v Combine like terms: 4v + -14v = -10v -10v = 14v + -14v Combine like terms: 14v + -14v = 0 -10v = 0 Divide each side by '-10'. v = 0.0 Simplifying v = 0.0
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