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Simplifying (5t + 3) + -1(3t + 4) = 0 Reorder the terms: (3 + 5t) + -1(3t + 4) = 0 Remove parenthesis around (3 + 5t) 3 + 5t + -1(3t + 4) = 0 Reorder the terms: 3 + 5t + -1(4 + 3t) = 0 3 + 5t + (4 * -1 + 3t * -1) = 0 3 + 5t + (-4 + -3t) = 0 Reorder the terms: 3 + -4 + 5t + -3t = 0 Combine like terms: 3 + -4 = -1 -1 + 5t + -3t = 0 Combine like terms: 5t + -3t = 2t -1 + 2t = 0 Solving -1 + 2t = 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 + 2t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = 0 + 1 2t = 0 + 1 Combine like terms: 0 + 1 = 1 2t = 1 Divide each side by '2'. t = 0.5 Simplifying t = 0.5
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