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Simplifying -6(t + -2) + -1(t + 5) = 6 Reorder the terms: -6(-2 + t) + -1(t + 5) = 6 (-2 * -6 + t * -6) + -1(t + 5) = 6 (12 + -6t) + -1(t + 5) = 6 Reorder the terms: 12 + -6t + -1(5 + t) = 6 12 + -6t + (5 * -1 + t * -1) = 6 12 + -6t + (-5 + -1t) = 6 Reorder the terms: 12 + -5 + -6t + -1t = 6 Combine like terms: 12 + -5 = 7 7 + -6t + -1t = 6 Combine like terms: -6t + -1t = -7t 7 + -7t = 6 Solving 7 + -7t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7t = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -7t = 6 + -7 -7t = 6 + -7 Combine like terms: 6 + -7 = -1 -7t = -1 Divide each side by '-7'. t = 0.1428571429 Simplifying t = 0.1428571429
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