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Simplifying -5(t + -9) + -1(t + 5) = 2 Reorder the terms: -5(-9 + t) + -1(t + 5) = 2 (-9 * -5 + t * -5) + -1(t + 5) = 2 (45 + -5t) + -1(t + 5) = 2 Reorder the terms: 45 + -5t + -1(5 + t) = 2 45 + -5t + (5 * -1 + t * -1) = 2 45 + -5t + (-5 + -1t) = 2 Reorder the terms: 45 + -5 + -5t + -1t = 2 Combine like terms: 45 + -5 = 40 40 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 40 + -6t = 2 Solving 40 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -6t = 2 + -40 Combine like terms: 40 + -40 = 0 0 + -6t = 2 + -40 -6t = 2 + -40 Combine like terms: 2 + -40 = -38 -6t = -38 Divide each side by '-6'. t = 6.333333333 Simplifying t = 6.333333333
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