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Simplifying 6(v + 3) = -5v + -15 Reorder the terms: 6(3 + v) = -5v + -15 (3 * 6 + v * 6) = -5v + -15 (18 + 6v) = -5v + -15 Reorder the terms: 18 + 6v = -15 + -5v Solving 18 + 6v = -15 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 18 + 6v + 5v = -15 + -5v + 5v Combine like terms: 6v + 5v = 11v 18 + 11v = -15 + -5v + 5v Combine like terms: -5v + 5v = 0 18 + 11v = -15 + 0 18 + 11v = -15 Add '-18' to each side of the equation. 18 + -18 + 11v = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 11v = -15 + -18 11v = -15 + -18 Combine like terms: -15 + -18 = -33 11v = -33 Divide each side by '11'. v = -3 Simplifying v = -3
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