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Simplifying -1[7t + (2 + 3t)] = 4 + -1(8t + 8) Remove parenthesis around (2 + 3t) -1[7t + 2 + 3t] = 4 + -1(8t + 8) Reorder the terms: -1[2 + 7t + 3t] = 4 + -1(8t + 8) Combine like terms: 7t + 3t = 10t -1[2 + 10t] = 4 + -1(8t + 8) [2 * -1 + 10t * -1] = 4 + -1(8t + 8) [-2 + -10t] = 4 + -1(8t + 8) Reorder the terms: -2 + -10t = 4 + -1(8 + 8t) -2 + -10t = 4 + (8 * -1 + 8t * -1) -2 + -10t = 4 + (-8 + -8t) Combine like terms: 4 + -8 = -4 -2 + -10t = -4 + -8t Solving -2 + -10t = -4 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. -2 + -10t + 8t = -4 + -8t + 8t Combine like terms: -10t + 8t = -2t -2 + -2t = -4 + -8t + 8t Combine like terms: -8t + 8t = 0 -2 + -2t = -4 + 0 -2 + -2t = -4 Add '2' to each side of the equation. -2 + 2 + -2t = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -2t = -4 + 2 -2t = -4 + 2 Combine like terms: -4 + 2 = -2 -2t = -2 Divide each side by '-2'. t = 1 Simplifying t = 1
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