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Simplifying (400 + -40t) + (150 + 32t) = 0 Remove parenthesis around (400 + -40t) 400 + -40t + (150 + 32t) = 0 Remove parenthesis around (150 + 32t) 400 + -40t + 150 + 32t = 0 Reorder the terms: 400 + 150 + -40t + 32t = 0 Combine like terms: 400 + 150 = 550 550 + -40t + 32t = 0 Combine like terms: -40t + 32t = -8t 550 + -8t = 0 Solving 550 + -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-550' to each side of the equation. 550 + -550 + -8t = 0 + -550 Combine like terms: 550 + -550 = 0 0 + -8t = 0 + -550 -8t = 0 + -550 Combine like terms: 0 + -550 = -550 -8t = -550 Divide each side by '-8'. t = 68.75 Simplifying t = 68.75
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