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Simplifying 80 = 100(3t + 2) Reorder the terms: 80 = 100(2 + 3t) 80 = (2 * 100 + 3t * 100) 80 = (200 + 300t) Solving 80 = 200 + 300t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-300t' to each side of the equation. 80 + -300t = 200 + 300t + -300t Combine like terms: 300t + -300t = 0 80 + -300t = 200 + 0 80 + -300t = 200 Add '-80' to each side of the equation. 80 + -80 + -300t = 200 + -80 Combine like terms: 80 + -80 = 0 0 + -300t = 200 + -80 -300t = 200 + -80 Combine like terms: 200 + -80 = 120 -300t = 120 Divide each side by '-300'. t = -0.4 Simplifying t = -0.4
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