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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 = 17r -185 = -32 + 17r Solving -185 = -32 + 17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-17r' to each side of the equation. -185 + -17r = -32 + 17r + -17r Combine like terms: 17r + -17r = 0 -185 + -17r = -32 + 0 -185 + -17r = -32 Add '185' to each side of the equation. -185 + 185 + -17r = -32 + 185 Combine like terms: -185 + 185 = 0 0 + -17r = -32 + 185 -17r = -32 + 185 Combine like terms: -32 + 185 = 153 -17r = 153 Divide each side by '-17'. r = -9 Simplifying r = -9
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