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Simplifying 2(t + -5) + -3(2t + -5) = 6 + -5(5t + 1) Reorder the terms: 2(-5 + t) + -3(2t + -5) = 6 + -5(5t + 1) (-5 * 2 + t * 2) + -3(2t + -5) = 6 + -5(5t + 1) (-10 + 2t) + -3(2t + -5) = 6 + -5(5t + 1) Reorder the terms: -10 + 2t + -3(-5 + 2t) = 6 + -5(5t + 1) -10 + 2t + (-5 * -3 + 2t * -3) = 6 + -5(5t + 1) -10 + 2t + (15 + -6t) = 6 + -5(5t + 1) Reorder the terms: -10 + 15 + 2t + -6t = 6 + -5(5t + 1) Combine like terms: -10 + 15 = 5 5 + 2t + -6t = 6 + -5(5t + 1) Combine like terms: 2t + -6t = -4t 5 + -4t = 6 + -5(5t + 1) Reorder the terms: 5 + -4t = 6 + -5(1 + 5t) 5 + -4t = 6 + (1 * -5 + 5t * -5) 5 + -4t = 6 + (-5 + -25t) Combine like terms: 6 + -5 = 1 5 + -4t = 1 + -25t Solving 5 + -4t = 1 + -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. 5 + -4t + 25t = 1 + -25t + 25t Combine like terms: -4t + 25t = 21t 5 + 21t = 1 + -25t + 25t Combine like terms: -25t + 25t = 0 5 + 21t = 1 + 0 5 + 21t = 1 Add '-5' to each side of the equation. 5 + -5 + 21t = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 21t = 1 + -5 21t = 1 + -5 Combine like terms: 1 + -5 = -4 21t = -4 Divide each side by '21'. t = -0.1904761905 Simplifying t = -0.1904761905
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