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Simplifying 6(8 + -5v) + 4 = v + 12 (8 * 6 + -5v * 6) + 4 = v + 12 (48 + -30v) + 4 = v + 12 Reorder the terms: 48 + 4 + -30v = v + 12 Combine like terms: 48 + 4 = 52 52 + -30v = v + 12 Reorder the terms: 52 + -30v = 12 + v Solving 52 + -30v = 12 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 52 + -30v + -1v = 12 + v + -1v Combine like terms: -30v + -1v = -31v 52 + -31v = 12 + v + -1v Combine like terms: v + -1v = 0 52 + -31v = 12 + 0 52 + -31v = 12 Add '-52' to each side of the equation. 52 + -52 + -31v = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -31v = 12 + -52 -31v = 12 + -52 Combine like terms: 12 + -52 = -40 -31v = -40 Divide each side by '-31'. v = 1.290322581 Simplifying v = 1.290322581
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