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Simplifying 2(t + -1) + -3(2t + -1) = 4 + -5(3t + -1) Reorder the terms: 2(-1 + t) + -3(2t + -1) = 4 + -5(3t + -1) (-1 * 2 + t * 2) + -3(2t + -1) = 4 + -5(3t + -1) (-2 + 2t) + -3(2t + -1) = 4 + -5(3t + -1) Reorder the terms: -2 + 2t + -3(-1 + 2t) = 4 + -5(3t + -1) -2 + 2t + (-1 * -3 + 2t * -3) = 4 + -5(3t + -1) -2 + 2t + (3 + -6t) = 4 + -5(3t + -1) Reorder the terms: -2 + 3 + 2t + -6t = 4 + -5(3t + -1) Combine like terms: -2 + 3 = 1 1 + 2t + -6t = 4 + -5(3t + -1) Combine like terms: 2t + -6t = -4t 1 + -4t = 4 + -5(3t + -1) Reorder the terms: 1 + -4t = 4 + -5(-1 + 3t) 1 + -4t = 4 + (-1 * -5 + 3t * -5) 1 + -4t = 4 + (5 + -15t) Combine like terms: 4 + 5 = 9 1 + -4t = 9 + -15t Solving 1 + -4t = 9 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. 1 + -4t + 15t = 9 + -15t + 15t Combine like terms: -4t + 15t = 11t 1 + 11t = 9 + -15t + 15t Combine like terms: -15t + 15t = 0 1 + 11t = 9 + 0 1 + 11t = 9 Add '-1' to each side of the equation. 1 + -1 + 11t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 11t = 9 + -1 11t = 9 + -1 Combine like terms: 9 + -1 = 8 11t = 8 Divide each side by '11'. t = 0.7272727273 Simplifying t = 0.7272727273
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