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Simplifying 8(2t + 4) + -4(3t + -1) = 0 Reorder the terms: 8(4 + 2t) + -4(3t + -1) = 0 (4 * 8 + 2t * 8) + -4(3t + -1) = 0 (32 + 16t) + -4(3t + -1) = 0 Reorder the terms: 32 + 16t + -4(-1 + 3t) = 0 32 + 16t + (-1 * -4 + 3t * -4) = 0 32 + 16t + (4 + -12t) = 0 Reorder the terms: 32 + 4 + 16t + -12t = 0 Combine like terms: 32 + 4 = 36 36 + 16t + -12t = 0 Combine like terms: 16t + -12t = 4t 36 + 4t = 0 Solving 36 + 4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4t = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4t = 0 + -36 4t = 0 + -36 Combine like terms: 0 + -36 = -36 4t = -36 Divide each side by '4'. t = -9 Simplifying t = -9
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