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Simplifying 8 = 8r + -4(v + 8) Reorder the terms: 8 = 8r + -4(8 + v) 8 = 8r + (8 * -4 + v * -4) 8 = 8r + (-32 + -4v) Reorder the terms: 8 = -32 + 8r + -4v Solving 8 = -32 + 8r + -4v 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 = -32 + 8r + -8r + -4v Combine like terms: 8r + -8r = 0 8 + -8r = -32 + 0 + -4v 8 + -8r = -32 + -4v Add '-8' to each side of the equation. 8 + -8 + -8r = -32 + -8 + -4v Combine like terms: 8 + -8 = 0 0 + -8r = -32 + -8 + -4v -8r = -32 + -8 + -4v Combine like terms: -32 + -8 = -40 -8r = -40 + -4v Divide each side by '-8'. r = 5 + 0.5v Simplifying r = 5 + 0.5v
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