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Simplifying 7t + -1(-1t + -5) = 6t + 5 Reorder the terms: 7t + -1(-5 + -1t) = 6t + 5 7t + (-5 * -1 + -1t * -1) = 6t + 5 7t + (5 + 1t) = 6t + 5 Reorder the terms: 5 + 7t + 1t = 6t + 5 Combine like terms: 7t + 1t = 8t 5 + 8t = 6t + 5 Reorder the terms: 5 + 8t = 5 + 6t Add '-5' to each side of the equation. 5 + -5 + 8t = 5 + -5 + 6t Combine like terms: 5 + -5 = 0 0 + 8t = 5 + -5 + 6t 8t = 5 + -5 + 6t Combine like terms: 5 + -5 = 0 8t = 0 + 6t 8t = 6t Solving 8t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 8t + -6t = 6t + -6t Combine like terms: 8t + -6t = 2t 2t = 6t + -6t Combine like terms: 6t + -6t = 0 2t = 0 Divide each side by '2'. t = 0 Simplifying t = 0
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