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Simplifying 3(-3v + 6) = 5v + 4 Reorder the terms: 3(6 + -3v) = 5v + 4 (6 * 3 + -3v * 3) = 5v + 4 (18 + -9v) = 5v + 4 Reorder the terms: 18 + -9v = 4 + 5v Solving 18 + -9v = 4 + 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 + -9v + -5v = 4 + 5v + -5v Combine like terms: -9v + -5v = -14v 18 + -14v = 4 + 5v + -5v Combine like terms: 5v + -5v = 0 18 + -14v = 4 + 0 18 + -14v = 4 Add '-18' to each side of the equation. 18 + -18 + -14v = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -14v = 4 + -18 -14v = 4 + -18 Combine like terms: 4 + -18 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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