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Simplifying 2(t + -3) + -3(4t + -5) = 6 + -5(5t + 2) Reorder the terms: 2(-3 + t) + -3(4t + -5) = 6 + -5(5t + 2) (-3 * 2 + t * 2) + -3(4t + -5) = 6 + -5(5t + 2) (-6 + 2t) + -3(4t + -5) = 6 + -5(5t + 2) Reorder the terms: -6 + 2t + -3(-5 + 4t) = 6 + -5(5t + 2) -6 + 2t + (-5 * -3 + 4t * -3) = 6 + -5(5t + 2) -6 + 2t + (15 + -12t) = 6 + -5(5t + 2) Reorder the terms: -6 + 15 + 2t + -12t = 6 + -5(5t + 2) Combine like terms: -6 + 15 = 9 9 + 2t + -12t = 6 + -5(5t + 2) Combine like terms: 2t + -12t = -10t 9 + -10t = 6 + -5(5t + 2) Reorder the terms: 9 + -10t = 6 + -5(2 + 5t) 9 + -10t = 6 + (2 * -5 + 5t * -5) 9 + -10t = 6 + (-10 + -25t) Combine like terms: 6 + -10 = -4 9 + -10t = -4 + -25t Solving 9 + -10t = -4 + -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. 9 + -10t + 25t = -4 + -25t + 25t Combine like terms: -10t + 25t = 15t 9 + 15t = -4 + -25t + 25t Combine like terms: -25t + 25t = 0 9 + 15t = -4 + 0 9 + 15t = -4 Add '-9' to each side of the equation. 9 + -9 + 15t = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 15t = -4 + -9 15t = -4 + -9 Combine like terms: -4 + -9 = -13 15t = -13 Divide each side by '15'. t = -0.8666666667 Simplifying t = -0.8666666667
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