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Simplifying -5(t + -5) + -1(t + -9) = 9 Reorder the terms: -5(-5 + t) + -1(t + -9) = 9 (-5 * -5 + t * -5) + -1(t + -9) = 9 (25 + -5t) + -1(t + -9) = 9 Reorder the terms: 25 + -5t + -1(-9 + t) = 9 25 + -5t + (-9 * -1 + t * -1) = 9 25 + -5t + (9 + -1t) = 9 Reorder the terms: 25 + 9 + -5t + -1t = 9 Combine like terms: 25 + 9 = 34 34 + -5t + -1t = 9 Combine like terms: -5t + -1t = -6t 34 + -6t = 9 Solving 34 + -6t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -6t = 9 + -34 Combine like terms: 34 + -34 = 0 0 + -6t = 9 + -34 -6t = 9 + -34 Combine like terms: 9 + -34 = -25 -6t = -25 Divide each side by '-6'. t = 4.166666667 Simplifying t = 4.166666667
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