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Simplifying 2t + (3 + 5t)(4) = 0 Reorder the terms for easier multiplication: 2t + 4(3 + 5t) = 0 2t + (3 * 4 + 5t * 4) = 0 2t + (12 + 20t) = 0 Reorder the terms: 12 + 2t + 20t = 0 Combine like terms: 2t + 20t = 22t 12 + 22t = 0 Solving 12 + 22t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 22t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 22t = 0 + -12 22t = 0 + -12 Combine like terms: 0 + -12 = -12 22t = -12 Divide each side by '22'. t = -0.5454545455 Simplifying t = -0.5454545455
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