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Simplifying 27 = 4(8v + 3) Reorder the terms: 27 = 4(3 + 8v) 27 = (3 * 4 + 8v * 4) 27 = (12 + 32v) Solving 27 = 12 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. 27 + -32v = 12 + 32v + -32v Combine like terms: 32v + -32v = 0 27 + -32v = 12 + 0 27 + -32v = 12 Add '-27' to each side of the equation. 27 + -27 + -32v = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -32v = 12 + -27 -32v = 12 + -27 Combine like terms: 12 + -27 = -15 -32v = -15 Divide each side by '-32'. v = 0.46875 Simplifying v = 0.46875
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