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Simplifying 6(3 + 1t) + (2t + 5) * 2 = 0 (3 * 6 + 1t * 6) + (2t + 5) * 2 = 0 (18 + 6t) + (2t + 5) * 2 = 0 Reorder the terms: 18 + 6t + (5 + 2t) * 2 = 0 Reorder the terms for easier multiplication: 18 + 6t + 2(5 + 2t) = 0 18 + 6t + (5 * 2 + 2t * 2) = 0 18 + 6t + (10 + 4t) = 0 Reorder the terms: 18 + 10 + 6t + 4t = 0 Combine like terms: 18 + 10 = 28 28 + 6t + 4t = 0 Combine like terms: 6t + 4t = 10t 28 + 10t = 0 Solving 28 + 10t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 10t = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 10t = 0 + -28 10t = 0 + -28 Combine like terms: 0 + -28 = -28 10t = -28 Divide each side by '10'. t = -2.8 Simplifying t = -2.8
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