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Simplifying 5(t + -1) + -1(4t + -5) = 5(2t + 5) + 6 Reorder the terms: 5(-1 + t) + -1(4t + -5) = 5(2t + 5) + 6 (-1 * 5 + t * 5) + -1(4t + -5) = 5(2t + 5) + 6 (-5 + 5t) + -1(4t + -5) = 5(2t + 5) + 6 Reorder the terms: -5 + 5t + -1(-5 + 4t) = 5(2t + 5) + 6 -5 + 5t + (-5 * -1 + 4t * -1) = 5(2t + 5) + 6 -5 + 5t + (5 + -4t) = 5(2t + 5) + 6 Reorder the terms: -5 + 5 + 5t + -4t = 5(2t + 5) + 6 Combine like terms: -5 + 5 = 0 0 + 5t + -4t = 5(2t + 5) + 6 5t + -4t = 5(2t + 5) + 6 Combine like terms: 5t + -4t = 1t 1t = 5(2t + 5) + 6 Reorder the terms: 1t = 5(5 + 2t) + 6 1t = (5 * 5 + 2t * 5) + 6 1t = (25 + 10t) + 6 Reorder the terms: 1t = 25 + 6 + 10t Combine like terms: 25 + 6 = 31 1t = 31 + 10t Solving 1t = 31 + 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. 1t + -10t = 31 + 10t + -10t Combine like terms: 1t + -10t = -9t -9t = 31 + 10t + -10t Combine like terms: 10t + -10t = 0 -9t = 31 + 0 -9t = 31 Divide each side by '-9'. t = -3.444444444 Simplifying t = -3.444444444
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