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Simplifying 5(8r + 1) = r + 4(7r + 4) Reorder the terms: 5(1 + 8r) = r + 4(7r + 4) (1 * 5 + 8r * 5) = r + 4(7r + 4) (5 + 40r) = r + 4(7r + 4) Reorder the terms: 5 + 40r = r + 4(4 + 7r) 5 + 40r = r + (4 * 4 + 7r * 4) 5 + 40r = r + (16 + 28r) Reorder the terms: 5 + 40r = 16 + r + 28r Combine like terms: r + 28r = 29r 5 + 40r = 16 + 29r Solving 5 + 40r = 16 + 29r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-29r' to each side of the equation. 5 + 40r + -29r = 16 + 29r + -29r Combine like terms: 40r + -29r = 11r 5 + 11r = 16 + 29r + -29r Combine like terms: 29r + -29r = 0 5 + 11r = 16 + 0 5 + 11r = 16 Add '-5' to each side of the equation. 5 + -5 + 11r = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 11r = 16 + -5 11r = 16 + -5 Combine like terms: 16 + -5 = 11 11r = 11 Divide each side by '11'. r = 1 Simplifying r = 1
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