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Simplifying -6(t + -6) + -1t + 8 = 1 Reorder the terms: -6(-6 + t) + -1t + 8 = 1 (-6 * -6 + t * -6) + -1t + 8 = 1 (36 + -6t) + -1t + 8 = 1 Reorder the terms: 36 + 8 + -6t + -1t = 1 Combine like terms: 36 + 8 = 44 44 + -6t + -1t = 1 Combine like terms: -6t + -1t = -7t 44 + -7t = 1 Solving 44 + -7t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -7t = 1 + -44 Combine like terms: 44 + -44 = 0 0 + -7t = 1 + -44 -7t = 1 + -44 Combine like terms: 1 + -44 = -43 -7t = -43 Divide each side by '-7'. t = 6.142857143 Simplifying t = 6.142857143
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