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Simplifying 2(t + -3) + -5(2t + -3) = 14 + -8(3t + 2) Reorder the terms: 2(-3 + t) + -5(2t + -3) = 14 + -8(3t + 2) (-3 * 2 + t * 2) + -5(2t + -3) = 14 + -8(3t + 2) (-6 + 2t) + -5(2t + -3) = 14 + -8(3t + 2) Reorder the terms: -6 + 2t + -5(-3 + 2t) = 14 + -8(3t + 2) -6 + 2t + (-3 * -5 + 2t * -5) = 14 + -8(3t + 2) -6 + 2t + (15 + -10t) = 14 + -8(3t + 2) Reorder the terms: -6 + 15 + 2t + -10t = 14 + -8(3t + 2) Combine like terms: -6 + 15 = 9 9 + 2t + -10t = 14 + -8(3t + 2) Combine like terms: 2t + -10t = -8t 9 + -8t = 14 + -8(3t + 2) Reorder the terms: 9 + -8t = 14 + -8(2 + 3t) 9 + -8t = 14 + (2 * -8 + 3t * -8) 9 + -8t = 14 + (-16 + -24t) Combine like terms: 14 + -16 = -2 9 + -8t = -2 + -24t Solving 9 + -8t = -2 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. 9 + -8t + 24t = -2 + -24t + 24t Combine like terms: -8t + 24t = 16t 9 + 16t = -2 + -24t + 24t Combine like terms: -24t + 24t = 0 9 + 16t = -2 + 0 9 + 16t = -2 Add '-9' to each side of the equation. 9 + -9 + 16t = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 16t = -2 + -9 16t = -2 + -9 Combine like terms: -2 + -9 = -11 16t = -11 Divide each side by '16'. t = -0.6875 Simplifying t = -0.6875
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