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Simplifying 5(v + 6) = -4v + -6 Reorder the terms: 5(6 + v) = -4v + -6 (6 * 5 + v * 5) = -4v + -6 (30 + 5v) = -4v + -6 Reorder the terms: 30 + 5v = -6 + -4v Solving 30 + 5v = -6 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 30 + 5v + 4v = -6 + -4v + 4v Combine like terms: 5v + 4v = 9v 30 + 9v = -6 + -4v + 4v Combine like terms: -4v + 4v = 0 30 + 9v = -6 + 0 30 + 9v = -6 Add '-30' to each side of the equation. 30 + -30 + 9v = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 9v = -6 + -30 9v = -6 + -30 Combine like terms: -6 + -30 = -36 9v = -36 Divide each side by '9'. v = -4 Simplifying v = -4
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