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Simplifying -6(t + -5) + -1(t + 9) = 8 Reorder the terms: -6(-5 + t) + -1(t + 9) = 8 (-5 * -6 + t * -6) + -1(t + 9) = 8 (30 + -6t) + -1(t + 9) = 8 Reorder the terms: 30 + -6t + -1(9 + t) = 8 30 + -6t + (9 * -1 + t * -1) = 8 30 + -6t + (-9 + -1t) = 8 Reorder the terms: 30 + -9 + -6t + -1t = 8 Combine like terms: 30 + -9 = 21 21 + -6t + -1t = 8 Combine like terms: -6t + -1t = -7t 21 + -7t = 8 Solving 21 + -7t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7t = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -7t = 8 + -21 -7t = 8 + -21 Combine like terms: 8 + -21 = -13 -7t = -13 Divide each side by '-7'. t = 1.857142857 Simplifying t = 1.857142857
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