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Simplifying 8(1 + 5r) = 40 + 8r (1 * 8 + 5r * 8) = 40 + 8r (8 + 40r) = 40 + 8r Solving 8 + 40r = 40 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 8 + 40r + -8r = 40 + 8r + -8r Combine like terms: 40r + -8r = 32r 8 + 32r = 40 + 8r + -8r Combine like terms: 8r + -8r = 0 8 + 32r = 40 + 0 8 + 32r = 40 Add '-8' to each side of the equation. 8 + -8 + 32r = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 32r = 40 + -8 32r = 40 + -8 Combine like terms: 40 + -8 = 32 32r = 32 Divide each side by '32'. r = 1 Simplifying r = 1
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