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Simplifying (5 + -1t) + (3t + 2) = 0 Remove parenthesis around (5 + -1t) 5 + -1t + (3t + 2) = 0 Reorder the terms: 5 + -1t + (2 + 3t) = 0 Remove parenthesis around (2 + 3t) 5 + -1t + 2 + 3t = 0 Reorder the terms: 5 + 2 + -1t + 3t = 0 Combine like terms: 5 + 2 = 7 7 + -1t + 3t = 0 Combine like terms: -1t + 3t = 2t 7 + 2t = 0 Solving 7 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 0 + -7 2t = 0 + -7 Combine like terms: 0 + -7 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5
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