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Simplifying 8t + 7(7 + 3t) * 4 + 2t = 0 Reorder the terms for easier multiplication: 8t + 7 * 4(7 + 3t) + 2t = 0 Multiply 7 * 4 8t + 28(7 + 3t) + 2t = 0 8t + (7 * 28 + 3t * 28) + 2t = 0 8t + (196 + 84t) + 2t = 0 Reorder the terms: 196 + 8t + 84t + 2t = 0 Combine like terms: 8t + 84t = 92t 196 + 92t + 2t = 0 Combine like terms: 92t + 2t = 94t 196 + 94t = 0 Solving 196 + 94t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-196' to each side of the equation. 196 + -196 + 94t = 0 + -196 Combine like terms: 196 + -196 = 0 0 + 94t = 0 + -196 94t = 0 + -196 Combine like terms: 0 + -196 = -196 94t = -196 Divide each side by '94'. t = -2.085106383 Simplifying t = -2.085106383
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