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Simplifying [7t + 1] = -3[1 + -3t] Reorder the terms: [1 + 7t] = -3[1 + -3t] Remove brackets around [1 + 7t] 1 + 7t = -3[1 + -3t] 1 + 7t = [1 * -3 + -3t * -3] 1 + 7t = [-3 + 9t] Solving 1 + 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. 1 + 7t + -9t = -3 + 9t + -9t Combine like terms: 7t + -9t = -2t 1 + -2t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 1 + -2t = -3 + 0 1 + -2t = -3 Add '-1' to each side of the equation. 1 + -1 + -2t = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = -3 + -1 -2t = -3 + -1 Combine like terms: -3 + -1 = -4 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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