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Simplifying 8v + -10(-1v + -9) = 9v + 27 Reorder the terms: 8v + -10(-9 + -1v) = 9v + 27 8v + (-9 * -10 + -1v * -10) = 9v + 27 8v + (90 + 10v) = 9v + 27 Reorder the terms: 90 + 8v + 10v = 9v + 27 Combine like terms: 8v + 10v = 18v 90 + 18v = 9v + 27 Reorder the terms: 90 + 18v = 27 + 9v Solving 90 + 18v = 27 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 90 + 18v + -9v = 27 + 9v + -9v Combine like terms: 18v + -9v = 9v 90 + 9v = 27 + 9v + -9v Combine like terms: 9v + -9v = 0 90 + 9v = 27 + 0 90 + 9v = 27 Add '-90' to each side of the equation. 90 + -90 + 9v = 27 + -90 Combine like terms: 90 + -90 = 0 0 + 9v = 27 + -90 9v = 27 + -90 Combine like terms: 27 + -90 = -63 9v = -63 Divide each side by '9'. v = -7 Simplifying v = -7
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