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