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Simplifying -5(t + -6) + -1(t + 9) = 2 Reorder the terms: -5(-6 + t) + -1(t + 9) = 2 (-6 * -5 + t * -5) + -1(t + 9) = 2 (30 + -5t) + -1(t + 9) = 2 Reorder the terms: 30 + -5t + -1(9 + t) = 2 30 + -5t + (9 * -1 + t * -1) = 2 30 + -5t + (-9 + -1t) = 2 Reorder the terms: 30 + -9 + -5t + -1t = 2 Combine like terms: 30 + -9 = 21 21 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 21 + -6t = 2 Solving 21 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -6t = 2 + -21 Combine like terms: 21 + -21 = 0 0 + -6t = 2 + -21 -6t = 2 + -21 Combine like terms: 2 + -21 = -19 -6t = -19 Divide each side by '-6'. t = 3.166666667 Simplifying t = 3.166666667
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