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