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Simplifying 6(5v + 3) = -9 + 3v Reorder the terms: 6(3 + 5v) = -9 + 3v (3 * 6 + 5v * 6) = -9 + 3v (18 + 30v) = -9 + 3v Solving 18 + 30v = -9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 18 + 30v + -3v = -9 + 3v + -3v Combine like terms: 30v + -3v = 27v 18 + 27v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 18 + 27v = -9 + 0 18 + 27v = -9 Add '-18' to each side of the equation. 18 + -18 + 27v = -9 + -18 Combine like terms: 18 + -18 = 0 0 + 27v = -9 + -18 27v = -9 + -18 Combine like terms: -9 + -18 = -27 27v = -27 Divide each side by '27'. v = -1 Simplifying v = -1
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