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Simplifying 6v + 9 = -5 + 3(v + -6) Reorder the terms: 9 + 6v = -5 + 3(v + -6) Reorder the terms: 9 + 6v = -5 + 3(-6 + v) 9 + 6v = -5 + (-6 * 3 + v * 3) 9 + 6v = -5 + (-18 + 3v) Combine like terms: -5 + -18 = -23 9 + 6v = -23 + 3v Solving 9 + 6v = -23 + 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. 9 + 6v + -3v = -23 + 3v + -3v Combine like terms: 6v + -3v = 3v 9 + 3v = -23 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + 3v = -23 + 0 9 + 3v = -23 Add '-9' to each side of the equation. 9 + -9 + 3v = -23 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = -23 + -9 3v = -23 + -9 Combine like terms: -23 + -9 = -32 3v = -32 Divide each side by '3'. v = -10.66666667 Simplifying v = -10.66666667
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