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Simplifying -5(t + -6) + -1(t + 8) = 9 Reorder the terms: -5(-6 + t) + -1(t + 8) = 9 (-6 * -5 + t * -5) + -1(t + 8) = 9 (30 + -5t) + -1(t + 8) = 9 Reorder the terms: 30 + -5t + -1(8 + t) = 9 30 + -5t + (8 * -1 + t * -1) = 9 30 + -5t + (-8 + -1t) = 9 Reorder the terms: 30 + -8 + -5t + -1t = 9 Combine like terms: 30 + -8 = 22 22 + -5t + -1t = 9 Combine like terms: -5t + -1t = -6t 22 + -6t = 9 Solving 22 + -6t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -6t = 9 + -22 Combine like terms: 22 + -22 = 0 0 + -6t = 9 + -22 -6t = 9 + -22 Combine like terms: 9 + -22 = -13 -6t = -13 Divide each side by '-6'. t = 2.166666667 Simplifying t = 2.166666667
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