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Simplifying 11(t + 1) + 2(t + 5) = 0 Reorder the terms: 11(1 + t) + 2(t + 5) = 0 (1 * 11 + t * 11) + 2(t + 5) = 0 (11 + 11t) + 2(t + 5) = 0 Reorder the terms: 11 + 11t + 2(5 + t) = 0 11 + 11t + (5 * 2 + t * 2) = 0 11 + 11t + (10 + 2t) = 0 Reorder the terms: 11 + 10 + 11t + 2t = 0 Combine like terms: 11 + 10 = 21 21 + 11t + 2t = 0 Combine like terms: 11t + 2t = 13t 21 + 13t = 0 Solving 21 + 13t = 0 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 + 13t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 13t = 0 + -21 13t = 0 + -21 Combine like terms: 0 + -21 = -21 13t = -21 Divide each side by '13'. t = -1.615384615 Simplifying t = -1.615384615
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