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Simplifying 165 = 5(1 + 8r) 165 = (1 * 5 + 8r * 5) 165 = (5 + 40r) Solving 165 = 5 + 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. 165 + -40r = 5 + 40r + -40r Combine like terms: 40r + -40r = 0 165 + -40r = 5 + 0 165 + -40r = 5 Add '-165' to each side of the equation. 165 + -165 + -40r = 5 + -165 Combine like terms: 165 + -165 = 0 0 + -40r = 5 + -165 -40r = 5 + -165 Combine like terms: 5 + -165 = -160 -40r = -160 Divide each side by '-40'. r = 4 Simplifying r = 4
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