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Simplifying 5(v + -3) = 6v + 2 Reorder the terms: 5(-3 + v) = 6v + 2 (-3 * 5 + v * 5) = 6v + 2 (-15 + 5v) = 6v + 2 Reorder the terms: -15 + 5v = 2 + 6v Solving -15 + 5v = 2 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -15 + 5v + -6v = 2 + 6v + -6v Combine like terms: 5v + -6v = -1v -15 + -1v = 2 + 6v + -6v Combine like terms: 6v + -6v = 0 -15 + -1v = 2 + 0 -15 + -1v = 2 Add '15' to each side of the equation. -15 + 15 + -1v = 2 + 15 Combine like terms: -15 + 15 = 0 0 + -1v = 2 + 15 -1v = 2 + 15 Combine like terms: 2 + 15 = 17 -1v = 17 Divide each side by '-1'. v = -17 Simplifying v = -17
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