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Simplifying 4r + -5(5r + 6) = -204 Reorder the terms: 4r + -5(6 + 5r) = -204 4r + (6 * -5 + 5r * -5) = -204 4r + (-30 + -25r) = -204 Reorder the terms: -30 + 4r + -25r = -204 Combine like terms: 4r + -25r = -21r -30 + -21r = -204 Solving -30 + -21r = -204 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -21r = -204 + 30 Combine like terms: -30 + 30 = 0 0 + -21r = -204 + 30 -21r = -204 + 30 Combine like terms: -204 + 30 = -174 -21r = -174 Divide each side by '-21'. r = 8.285714286 Simplifying r = 8.285714286
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