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Simplifying -185 = -3r + -4(5r + 8) Reorder the terms: -185 = -3r + -4(8 + 5r) -185 = -3r + (8 * -4 + 5r * -4) -185 = -3r + (-32 + -20r) Reorder the terms: -185 = -32 + -3r + -20r Combine like terms: -3r + -20r = -23r -185 = -32 + -23r Solving -185 = -32 + -23r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '23r' to each side of the equation. -185 + 23r = -32 + -23r + 23r Combine like terms: -23r + 23r = 0 -185 + 23r = -32 + 0 -185 + 23r = -32 Add '185' to each side of the equation. -185 + 185 + 23r = -32 + 185 Combine like terms: -185 + 185 = 0 0 + 23r = -32 + 185 23r = -32 + 185 Combine like terms: -32 + 185 = 153 23r = 153 Divide each side by '23'. r = 6.652173913 Simplifying r = 6.652173913
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