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Simplifying 8(3t + 4) = 10t + -3 + 7(2t + 5) Reorder the terms: 8(4 + 3t) = 10t + -3 + 7(2t + 5) (4 * 8 + 3t * 8) = 10t + -3 + 7(2t + 5) (32 + 24t) = 10t + -3 + 7(2t + 5) Reorder the terms: 32 + 24t = 10t + -3 + 7(5 + 2t) 32 + 24t = 10t + -3 + (5 * 7 + 2t * 7) 32 + 24t = 10t + -3 + (35 + 14t) Reorder the terms: 32 + 24t = -3 + 35 + 10t + 14t Combine like terms: -3 + 35 = 32 32 + 24t = 32 + 10t + 14t Combine like terms: 10t + 14t = 24t 32 + 24t = 32 + 24t Add '-32' to each side of the equation. 32 + -32 + 24t = 32 + -32 + 24t Combine like terms: 32 + -32 = 0 0 + 24t = 32 + -32 + 24t 24t = 32 + -32 + 24t Combine like terms: 32 + -32 = 0 24t = 0 + 24t 24t = 24t Add '-24t' to each side of the equation. 24t + -24t = 24t + -24t Combine like terms: 24t + -24t = 0 0 = 24t + -24t Combine like terms: 24t + -24t = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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