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Simplifying 8v + -27 = -5(3 + -2v) Reorder the terms: -27 + 8v = -5(3 + -2v) -27 + 8v = (3 * -5 + -2v * -5) -27 + 8v = (-15 + 10v) Solving -27 + 8v = -15 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -27 + 8v + -10v = -15 + 10v + -10v Combine like terms: 8v + -10v = -2v -27 + -2v = -15 + 10v + -10v Combine like terms: 10v + -10v = 0 -27 + -2v = -15 + 0 -27 + -2v = -15 Add '27' to each side of the equation. -27 + 27 + -2v = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -2v = -15 + 27 -2v = -15 + 27 Combine like terms: -15 + 27 = 12 -2v = 12 Divide each side by '-2'. v = -6 Simplifying v = -6
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