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Simplifying 2(3t + 5) + -4(2t + -1) = 0 Reorder the terms: 2(5 + 3t) + -4(2t + -1) = 0 (5 * 2 + 3t * 2) + -4(2t + -1) = 0 (10 + 6t) + -4(2t + -1) = 0 Reorder the terms: 10 + 6t + -4(-1 + 2t) = 0 10 + 6t + (-1 * -4 + 2t * -4) = 0 10 + 6t + (4 + -8t) = 0 Reorder the terms: 10 + 4 + 6t + -8t = 0 Combine like terms: 10 + 4 = 14 14 + 6t + -8t = 0 Combine like terms: 6t + -8t = -2t 14 + -2t = 0 Solving 14 + -2t = 0 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 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = 0 + -14 -2t = 0 + -14 Combine like terms: 0 + -14 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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