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Simplifying 3(t + -5) + -5(2t + -5) = 3 + -8(3t + 5) Reorder the terms: 3(-5 + t) + -5(2t + -5) = 3 + -8(3t + 5) (-5 * 3 + t * 3) + -5(2t + -5) = 3 + -8(3t + 5) (-15 + 3t) + -5(2t + -5) = 3 + -8(3t + 5) Reorder the terms: -15 + 3t + -5(-5 + 2t) = 3 + -8(3t + 5) -15 + 3t + (-5 * -5 + 2t * -5) = 3 + -8(3t + 5) -15 + 3t + (25 + -10t) = 3 + -8(3t + 5) Reorder the terms: -15 + 25 + 3t + -10t = 3 + -8(3t + 5) Combine like terms: -15 + 25 = 10 10 + 3t + -10t = 3 + -8(3t + 5) Combine like terms: 3t + -10t = -7t 10 + -7t = 3 + -8(3t + 5) Reorder the terms: 10 + -7t = 3 + -8(5 + 3t) 10 + -7t = 3 + (5 * -8 + 3t * -8) 10 + -7t = 3 + (-40 + -24t) Combine like terms: 3 + -40 = -37 10 + -7t = -37 + -24t Solving 10 + -7t = -37 + -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. 10 + -7t + 24t = -37 + -24t + 24t Combine like terms: -7t + 24t = 17t 10 + 17t = -37 + -24t + 24t Combine like terms: -24t + 24t = 0 10 + 17t = -37 + 0 10 + 17t = -37 Add '-10' to each side of the equation. 10 + -10 + 17t = -37 + -10 Combine like terms: 10 + -10 = 0 0 + 17t = -37 + -10 17t = -37 + -10 Combine like terms: -37 + -10 = -47 17t = -47 Divide each side by '17'. t = -2.764705882 Simplifying t = -2.764705882
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