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Simplifying -1v + -8 = -7 + -9(v + -10) Reorder the terms: -8 + -1v = -7 + -9(v + -10) Reorder the terms: -8 + -1v = -7 + -9(-10 + v) -8 + -1v = -7 + (-10 * -9 + v * -9) -8 + -1v = -7 + (90 + -9v) Combine like terms: -7 + 90 = 83 -8 + -1v = 83 + -9v Solving -8 + -1v = 83 + -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. -8 + -1v + 9v = 83 + -9v + 9v Combine like terms: -1v + 9v = 8v -8 + 8v = 83 + -9v + 9v Combine like terms: -9v + 9v = 0 -8 + 8v = 83 + 0 -8 + 8v = 83 Add '8' to each side of the equation. -8 + 8 + 8v = 83 + 8 Combine like terms: -8 + 8 = 0 0 + 8v = 83 + 8 8v = 83 + 8 Combine like terms: 83 + 8 = 91 8v = 91 Divide each side by '8'. v = 11.375 Simplifying v = 11.375
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