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Simplifying -6(t + -2) + -1(t + 9) = 2 Reorder the terms: -6(-2 + t) + -1(t + 9) = 2 (-2 * -6 + t * -6) + -1(t + 9) = 2 (12 + -6t) + -1(t + 9) = 2 Reorder the terms: 12 + -6t + -1(9 + t) = 2 12 + -6t + (9 * -1 + t * -1) = 2 12 + -6t + (-9 + -1t) = 2 Reorder the terms: 12 + -9 + -6t + -1t = 2 Combine like terms: 12 + -9 = 3 3 + -6t + -1t = 2 Combine like terms: -6t + -1t = -7t 3 + -7t = 2 Solving 3 + -7t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7t = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -7t = 2 + -3 -7t = 2 + -3 Combine like terms: 2 + -3 = -1 -7t = -1 Divide each side by '-7'. t = 0.1428571429 Simplifying t = 0.1428571429
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