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Simplifying 32 = 20r + 5(4r + 5) Reorder the terms: 32 = 20r + 5(5 + 4r) 32 = 20r + (5 * 5 + 4r * 5) 32 = 20r + (25 + 20r) Reorder the terms: 32 = 25 + 20r + 20r Combine like terms: 20r + 20r = 40r 32 = 25 + 40r Solving 32 = 25 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. 32 + -40r = 25 + 40r + -40r Combine like terms: 40r + -40r = 0 32 + -40r = 25 + 0 32 + -40r = 25 Add '-32' to each side of the equation. 32 + -32 + -40r = 25 + -32 Combine like terms: 32 + -32 = 0 0 + -40r = 25 + -32 -40r = 25 + -32 Combine like terms: 25 + -32 = -7 -40r = -7 Divide each side by '-40'. r = 0.175 Simplifying r = 0.175
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