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Simplifying (5t + -3) + (3t + 2) = 0 Reorder the terms: (-3 + 5t) + (3t + 2) = 0 Remove parenthesis around (-3 + 5t) -3 + 5t + (3t + 2) = 0 Reorder the terms: -3 + 5t + (2 + 3t) = 0 Remove parenthesis around (2 + 3t) -3 + 5t + 2 + 3t = 0 Reorder the terms: -3 + 2 + 5t + 3t = 0 Combine like terms: -3 + 2 = -1 -1 + 5t + 3t = 0 Combine like terms: 5t + 3t = 8t -1 + 8t = 0 Solving -1 + 8t = 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 + 8t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8t = 0 + 1 8t = 0 + 1 Combine like terms: 0 + 1 = 1 8t = 1 Divide each side by '8'. t = 0.125 Simplifying t = 0.125
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