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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 = 16 16 + -5t + -1t = 9 Combine like terms: -5t + -1t = -6t 16 + -6t = 9 Solving 16 + -6t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -6t = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -6t = 9 + -16 -6t = 9 + -16 Combine like terms: 9 + -16 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667
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