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Simplifying 7t + -1[6 + -5t + (3t + 4)] = 0 Reorder the terms: 7t + -1[6 + -5t + (4 + 3t)] = 0 Remove parenthesis around (4 + 3t) 7t + -1[6 + -5t + 4 + 3t] = 0 Reorder the terms: 7t + -1[6 + 4 + -5t + 3t] = 0 Combine like terms: 6 + 4 = 10 7t + -1[10 + -5t + 3t] = 0 Combine like terms: -5t + 3t = -2t 7t + -1[10 + -2t] = 0 7t + [10 * -1 + -2t * -1] = 0 7t + [-10 + 2t] = 0 Reorder the terms: -10 + 7t + 2t = 0 Combine like terms: 7t + 2t = 9t -10 + 9t = 0 Solving -10 + 9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9t = 0 + 10 9t = 0 + 10 Combine like terms: 0 + 10 = 10 9t = 10 Divide each side by '9'. t = 1.111111111 Simplifying t = 1.111111111
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