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Simplifying [7t + -2] + -1[-3 + 1] = -3[1 + -3t] Reorder the terms: [-2 + 7t] + -1[-3 + 1] = -3[1 + -3t] Remove brackets around [-2 + 7t] -2 + 7t + -1[-3 + 1] = -3[1 + -3t] Combine like terms: -3 + 1 = -2 -2 + 7t + -1[-2] = -3[1 + -3t] Multiply -1 * -2 -2 + 7t + 2 = -3[1 + -3t] Reorder the terms: -2 + 2 + 7t = -3[1 + -3t] Combine like terms: -2 + 2 = 0 0 + 7t = -3[1 + -3t] 7t = -3[1 + -3t] 7t = [1 * -3 + -3t * -3] 7t = [-3 + 9t] Solving 7t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 7t + -9t = -3 + 9t + -9t Combine like terms: 7t + -9t = -2t -2t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 -2t = -3 + 0 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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