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Simplifying 24 + -5r = -5r + -8(5r + -8) Reorder the terms: 24 + -5r = -5r + -8(-8 + 5r) 24 + -5r = -5r + (-8 * -8 + 5r * -8) 24 + -5r = -5r + (64 + -40r) Reorder the terms: 24 + -5r = 64 + -5r + -40r Combine like terms: -5r + -40r = -45r 24 + -5r = 64 + -45r Solving 24 + -5r = 64 + -45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '45r' to each side of the equation. 24 + -5r + 45r = 64 + -45r + 45r Combine like terms: -5r + 45r = 40r 24 + 40r = 64 + -45r + 45r Combine like terms: -45r + 45r = 0 24 + 40r = 64 + 0 24 + 40r = 64 Add '-24' to each side of the equation. 24 + -24 + 40r = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 40r = 64 + -24 40r = 64 + -24 Combine like terms: 64 + -24 = 40 40r = 40 Divide each side by '40'. r = 1 Simplifying r = 1
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