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Simplifying 2(t + -7) + -3(4t + -7) = 13 + -5(5t + 2) Reorder the terms: 2(-7 + t) + -3(4t + -7) = 13 + -5(5t + 2) (-7 * 2 + t * 2) + -3(4t + -7) = 13 + -5(5t + 2) (-14 + 2t) + -3(4t + -7) = 13 + -5(5t + 2) Reorder the terms: -14 + 2t + -3(-7 + 4t) = 13 + -5(5t + 2) -14 + 2t + (-7 * -3 + 4t * -3) = 13 + -5(5t + 2) -14 + 2t + (21 + -12t) = 13 + -5(5t + 2) Reorder the terms: -14 + 21 + 2t + -12t = 13 + -5(5t + 2) Combine like terms: -14 + 21 = 7 7 + 2t + -12t = 13 + -5(5t + 2) Combine like terms: 2t + -12t = -10t 7 + -10t = 13 + -5(5t + 2) Reorder the terms: 7 + -10t = 13 + -5(2 + 5t) 7 + -10t = 13 + (2 * -5 + 5t * -5) 7 + -10t = 13 + (-10 + -25t) Combine like terms: 13 + -10 = 3 7 + -10t = 3 + -25t Solving 7 + -10t = 3 + -25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25t' to each side of the equation. 7 + -10t + 25t = 3 + -25t + 25t Combine like terms: -10t + 25t = 15t 7 + 15t = 3 + -25t + 25t Combine like terms: -25t + 25t = 0 7 + 15t = 3 + 0 7 + 15t = 3 Add '-7' to each side of the equation. 7 + -7 + 15t = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 15t = 3 + -7 15t = 3 + -7 Combine like terms: 3 + -7 = -4 15t = -4 Divide each side by '15'. t = -0.2666666667 Simplifying t = -0.2666666667
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