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Simplifying -6(t + -6) + -1(t + 6) = 5 Reorder the terms: -6(-6 + t) + -1(t + 6) = 5 (-6 * -6 + t * -6) + -1(t + 6) = 5 (36 + -6t) + -1(t + 6) = 5 Reorder the terms: 36 + -6t + -1(6 + t) = 5 36 + -6t + (6 * -1 + t * -1) = 5 36 + -6t + (-6 + -1t) = 5 Reorder the terms: 36 + -6 + -6t + -1t = 5 Combine like terms: 36 + -6 = 30 30 + -6t + -1t = 5 Combine like terms: -6t + -1t = -7t 30 + -7t = 5 Solving 30 + -7t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -7t = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -7t = 5 + -30 -7t = 5 + -30 Combine like terms: 5 + -30 = -25 -7t = -25 Divide each side by '-7'. t = 3.571428571 Simplifying t = 3.571428571
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