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Simplifying (8t + 13) + (-3t + 7) = 0 Reorder the terms: (13 + 8t) + (-3t + 7) = 0 Remove parenthesis around (13 + 8t) 13 + 8t + (-3t + 7) = 0 Reorder the terms: 13 + 8t + (7 + -3t) = 0 Remove parenthesis around (7 + -3t) 13 + 8t + 7 + -3t = 0 Reorder the terms: 13 + 7 + 8t + -3t = 0 Combine like terms: 13 + 7 = 20 20 + 8t + -3t = 0 Combine like terms: 8t + -3t = 5t 20 + 5t = 0 Solving 20 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5t = 0 + -20 5t = 0 + -20 Combine like terms: 0 + -20 = -20 5t = -20 Divide each side by '5'. t = -4 Simplifying t = -4
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