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Simplifying -5(t + -2) + -1(t + 8) = 9 Reorder the terms: -5(-2 + t) + -1(t + 8) = 9 (-2 * -5 + t * -5) + -1(t + 8) = 9 (10 + -5t) + -1(t + 8) = 9 Reorder the terms: 10 + -5t + -1(8 + t) = 9 10 + -5t + (8 * -1 + t * -1) = 9 10 + -5t + (-8 + -1t) = 9 Reorder the terms: 10 + -8 + -5t + -1t = 9 Combine like terms: 10 + -8 = 2 2 + -5t + -1t = 9 Combine like terms: -5t + -1t = -6t 2 + -6t = 9 Solving 2 + -6t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -6t = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -6t = 9 + -2 -6t = 9 + -2 Combine like terms: 9 + -2 = 7 -6t = 7 Divide each side by '-6'. t = -1.166666667 Simplifying t = -1.166666667
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