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Simplifying 5 + 6(v + -3) = 2 + v Reorder the terms: 5 + 6(-3 + v) = 2 + v 5 + (-3 * 6 + v * 6) = 2 + v 5 + (-18 + 6v) = 2 + v Combine like terms: 5 + -18 = -13 -13 + 6v = 2 + v Solving -13 + 6v = 2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -13 + 6v + -1v = 2 + v + -1v Combine like terms: 6v + -1v = 5v -13 + 5v = 2 + v + -1v Combine like terms: v + -1v = 0 -13 + 5v = 2 + 0 -13 + 5v = 2 Add '13' to each side of the equation. -13 + 13 + 5v = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 5v = 2 + 13 5v = 2 + 13 Combine like terms: 2 + 13 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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