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Simplifying 8(3r + 4) = 10t + -3 + 7(2t + 5) Reorder the terms: 8(4 + 3r) = 10t + -3 + 7(2t + 5) (4 * 8 + 3r * 8) = 10t + -3 + 7(2t + 5) (32 + 24r) = 10t + -3 + 7(2t + 5) Reorder the terms: 32 + 24r = 10t + -3 + 7(5 + 2t) 32 + 24r = 10t + -3 + (5 * 7 + 2t * 7) 32 + 24r = 10t + -3 + (35 + 14t) Reorder the terms: 32 + 24r = -3 + 35 + 10t + 14t Combine like terms: -3 + 35 = 32 32 + 24r = 32 + 10t + 14t Combine like terms: 10t + 14t = 24t 32 + 24r = 32 + 24t Add '-32' to each side of the equation. 32 + -32 + 24r = 32 + -32 + 24t Combine like terms: 32 + -32 = 0 0 + 24r = 32 + -32 + 24t 24r = 32 + -32 + 24t Combine like terms: 32 + -32 = 0 24r = 0 + 24t 24r = 24t Solving 24r = 24t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '24'. r = t Simplifying r = t
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