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Simplifying -5(t + -9) + -1(t + 1) = 9 Reorder the terms: -5(-9 + t) + -1(t + 1) = 9 (-9 * -5 + t * -5) + -1(t + 1) = 9 (45 + -5t) + -1(t + 1) = 9 Reorder the terms: 45 + -5t + -1(1 + t) = 9 45 + -5t + (1 * -1 + t * -1) = 9 45 + -5t + (-1 + -1t) = 9 Reorder the terms: 45 + -1 + -5t + -1t = 9 Combine like terms: 45 + -1 = 44 44 + -5t + -1t = 9 Combine like terms: -5t + -1t = -6t 44 + -6t = 9 Solving 44 + -6t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -6t = 9 + -44 Combine like terms: 44 + -44 = 0 0 + -6t = 9 + -44 -6t = 9 + -44 Combine like terms: 9 + -44 = -35 -6t = -35 Divide each side by '-6'. t = 5.833333333 Simplifying t = 5.833333333
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