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Simplifying 2(3t + 5) + -4(2t + -1) = 6 Reorder the terms: 2(5 + 3t) + -4(2t + -1) = 6 (5 * 2 + 3t * 2) + -4(2t + -1) = 6 (10 + 6t) + -4(2t + -1) = 6 Reorder the terms: 10 + 6t + -4(-1 + 2t) = 6 10 + 6t + (-1 * -4 + 2t * -4) = 6 10 + 6t + (4 + -8t) = 6 Reorder the terms: 10 + 4 + 6t + -8t = 6 Combine like terms: 10 + 4 = 14 14 + 6t + -8t = 6 Combine like terms: 6t + -8t = -2t 14 + -2t = 6 Solving 14 + -2t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2t = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = 6 + -14 -2t = 6 + -14 Combine like terms: 6 + -14 = -8 -2t = -8 Divide each side by '-2'. t = 4 Simplifying t = 4
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