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Simplifying 8 + -3(t + -5) = 5(2T + -11) Reorder the terms: 8 + -3(-5 + t) = 5(2T + -11) 8 + (-5 * -3 + t * -3) = 5(2T + -11) 8 + (15 + -3t) = 5(2T + -11) Combine like terms: 8 + 15 = 23 23 + -3t = 5(2T + -11) Reorder the terms: 23 + -3t = 5(-11 + 2T) 23 + -3t = (-11 * 5 + 2T * 5) 23 + -3t = (-55 + 10T) Solving 23 + -3t = -55 + 10T Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3t = -55 + -23 + 10T Combine like terms: 23 + -23 = 0 0 + -3t = -55 + -23 + 10T -3t = -55 + -23 + 10T Combine like terms: -55 + -23 = -78 -3t = -78 + 10T Divide each side by '-3'. t = 26 + -3.333333333T Simplifying t = 26 + -3.333333333T
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