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Simplifying 204 = 4(8r + -5) Reorder the terms: 204 = 4(-5 + 8r) 204 = (-5 * 4 + 8r * 4) 204 = (-20 + 32r) Solving 204 = -20 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. 204 + -32r = -20 + 32r + -32r Combine like terms: 32r + -32r = 0 204 + -32r = -20 + 0 204 + -32r = -20 Add '-204' to each side of the equation. 204 + -204 + -32r = -20 + -204 Combine like terms: 204 + -204 = 0 0 + -32r = -20 + -204 -32r = -20 + -204 Combine like terms: -20 + -204 = -224 -32r = -224 Divide each side by '-32'. r = 7 Simplifying r = 7
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