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Simplifying 8(5r + 1) = 4r + 8 Reorder the terms: 8(1 + 5r) = 4r + 8 (1 * 8 + 5r * 8) = 4r + 8 (8 + 40r) = 4r + 8 Reorder the terms: 8 + 40r = 8 + 4r Add '-8' to each side of the equation. 8 + -8 + 40r = 8 + -8 + 4r Combine like terms: 8 + -8 = 0 0 + 40r = 8 + -8 + 4r 40r = 8 + -8 + 4r Combine like terms: 8 + -8 = 0 40r = 0 + 4r 40r = 4r Solving 40r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 40r + -4r = 4r + -4r Combine like terms: 40r + -4r = 36r 36r = 4r + -4r Combine like terms: 4r + -4r = 0 36r = 0 Divide each side by '36'. r = 0 Simplifying r = 0
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