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Simplifying -6(t + -6) + -1(t + 6) = 3 Reorder the terms: -6(-6 + t) + -1(t + 6) = 3 (-6 * -6 + t * -6) + -1(t + 6) = 3 (36 + -6t) + -1(t + 6) = 3 Reorder the terms: 36 + -6t + -1(6 + t) = 3 36 + -6t + (6 * -1 + t * -1) = 3 36 + -6t + (-6 + -1t) = 3 Reorder the terms: 36 + -6 + -6t + -1t = 3 Combine like terms: 36 + -6 = 30 30 + -6t + -1t = 3 Combine like terms: -6t + -1t = -7t 30 + -7t = 3 Solving 30 + -7t = 3 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 = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -7t = 3 + -30 -7t = 3 + -30 Combine like terms: 3 + -30 = -27 -7t = -27 Divide each side by '-7'. t = 3.857142857 Simplifying t = 3.857142857
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