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Simplifying 8 = 8r + -1(v + 8) Reorder the terms: 8 = 8r + -1(8 + v) 8 = 8r + (8 * -1 + v * -1) 8 = 8r + (-8 + -1v) Reorder the terms: 8 = -8 + 8r + -1v Solving 8 = -8 + 8r + -1v Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 8 + -8r = -8 + 8r + -8r + -1v Combine like terms: 8r + -8r = 0 8 + -8r = -8 + 0 + -1v 8 + -8r = -8 + -1v Add '-8' to each side of the equation. 8 + -8 + -8r = -8 + -8 + -1v Combine like terms: 8 + -8 = 0 0 + -8r = -8 + -8 + -1v -8r = -8 + -8 + -1v Combine like terms: -8 + -8 = -16 -8r = -16 + -1v Divide each side by '-8'. r = 2 + 0.125v Simplifying r = 2 + 0.125v
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