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Simplifying (3t + -4) + (2t + 5) = 0 Reorder the terms: (-4 + 3t) + (2t + 5) = 0 Remove parenthesis around (-4 + 3t) -4 + 3t + (2t + 5) = 0 Reorder the terms: -4 + 3t + (5 + 2t) = 0 Remove parenthesis around (5 + 2t) -4 + 3t + 5 + 2t = 0 Reorder the terms: -4 + 5 + 3t + 2t = 0 Combine like terms: -4 + 5 = 1 1 + 3t + 2t = 0 Combine like terms: 3t + 2t = 5t 1 + 5t = 0 Solving 1 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = 0 + -1 5t = 0 + -1 Combine like terms: 0 + -1 = -1 5t = -1 Divide each side by '5'. t = -0.2 Simplifying t = -0.2
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