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Simplifying -6(t + -5) + -1(t + 3) = 9 Reorder the terms: -6(-5 + t) + -1(t + 3) = 9 (-5 * -6 + t * -6) + -1(t + 3) = 9 (30 + -6t) + -1(t + 3) = 9 Reorder the terms: 30 + -6t + -1(3 + t) = 9 30 + -6t + (3 * -1 + t * -1) = 9 30 + -6t + (-3 + -1t) = 9 Reorder the terms: 30 + -3 + -6t + -1t = 9 Combine like terms: 30 + -3 = 27 27 + -6t + -1t = 9 Combine like terms: -6t + -1t = -7t 27 + -7t = 9 Solving 27 + -7t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -7t = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -7t = 9 + -27 -7t = 9 + -27 Combine like terms: 9 + -27 = -18 -7t = -18 Divide each side by '-7'. t = 2.571428571 Simplifying t = 2.571428571
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