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Simplifying 170 = 5(1 + 8r) + 5 170 = (1 * 5 + 8r * 5) + 5 170 = (5 + 40r) + 5 Reorder the terms: 170 = 5 + 5 + 40r Combine like terms: 5 + 5 = 10 170 = 10 + 40r Solving 170 = 10 + 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. 170 + -40r = 10 + 40r + -40r Combine like terms: 40r + -40r = 0 170 + -40r = 10 + 0 170 + -40r = 10 Add '-170' to each side of the equation. 170 + -170 + -40r = 10 + -170 Combine like terms: 170 + -170 = 0 0 + -40r = 10 + -170 -40r = 10 + -170 Combine like terms: 10 + -170 = -160 -40r = -160 Divide each side by '-40'. r = 4 Simplifying r = 4
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