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Simplifying -6v + -23 = -4(v + 9) Reorder the terms: -23 + -6v = -4(v + 9) Reorder the terms: -23 + -6v = -4(9 + v) -23 + -6v = (9 * -4 + v * -4) -23 + -6v = (-36 + -4v) Solving -23 + -6v = -36 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -23 + -6v + 4v = -36 + -4v + 4v Combine like terms: -6v + 4v = -2v -23 + -2v = -36 + -4v + 4v Combine like terms: -4v + 4v = 0 -23 + -2v = -36 + 0 -23 + -2v = -36 Add '23' to each side of the equation. -23 + 23 + -2v = -36 + 23 Combine like terms: -23 + 23 = 0 0 + -2v = -36 + 23 -2v = -36 + 23 Combine like terms: -36 + 23 = -13 -2v = -13 Divide each side by '-2'. v = 6.5 Simplifying v = 6.5
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