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Simplifying 4(v + 1) + v = 8(v + -1) * 6 Reorder the terms: 4(1 + v) + v = 8(v + -1) * 6 (1 * 4 + v * 4) + v = 8(v + -1) * 6 (4 + 4v) + v = 8(v + -1) * 6 Combine like terms: 4v + v = 5v 4 + 5v = 8(v + -1) * 6 Reorder the terms: 4 + 5v = 8(-1 + v) * 6 Reorder the terms for easier multiplication: 4 + 5v = 8 * 6(-1 + v) Multiply 8 * 6 4 + 5v = 48(-1 + v) 4 + 5v = (-1 * 48 + v * 48) 4 + 5v = (-48 + 48v) Solving 4 + 5v = -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. 4 + 5v + -48v = -48 + 48v + -48v Combine like terms: 5v + -48v = -43v 4 + -43v = -48 + 48v + -48v Combine like terms: 48v + -48v = 0 4 + -43v = -48 + 0 4 + -43v = -48 Add '-4' to each side of the equation. 4 + -4 + -43v = -48 + -4 Combine like terms: 4 + -4 = 0 0 + -43v = -48 + -4 -43v = -48 + -4 Combine like terms: -48 + -4 = -52 -43v = -52 Divide each side by '-43'. v = 1.209302326 Simplifying v = 1.209302326
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