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Simplifying 4 + 10r = 8(5r + 8) Reorder the terms: 4 + 10r = 8(8 + 5r) 4 + 10r = (8 * 8 + 5r * 8) 4 + 10r = (64 + 40r) Solving 4 + 10r = 64 + 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. 4 + 10r + -40r = 64 + 40r + -40r Combine like terms: 10r + -40r = -30r 4 + -30r = 64 + 40r + -40r Combine like terms: 40r + -40r = 0 4 + -30r = 64 + 0 4 + -30r = 64 Add '-4' to each side of the equation. 4 + -4 + -30r = 64 + -4 Combine like terms: 4 + -4 = 0 0 + -30r = 64 + -4 -30r = 64 + -4 Combine like terms: 64 + -4 = 60 -30r = 60 Divide each side by '-30'. r = -2 Simplifying r = -2
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