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Simplifying 14t + 4(1 + -4t) = 0 14t + (1 * 4 + -4t * 4) = 0 14t + (4 + -16t) = 0 Reorder the terms: 4 + 14t + -16t = 0 Combine like terms: 14t + -16t = -2t 4 + -2t = 0 Solving 4 + -2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = 0 + -4 -2t = 0 + -4 Combine like terms: 0 + -4 = -4 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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