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Simplifying 2t + -5(3t + 4) = 0 Reorder the terms: 2t + -5(4 + 3t) = 0 2t + (4 * -5 + 3t * -5) = 0 2t + (-20 + -15t) = 0 Reorder the terms: -20 + 2t + -15t = 0 Combine like terms: 2t + -15t = -13t -20 + -13t = 0 Solving -20 + -13t = 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 + -13t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -13t = 0 + 20 -13t = 0 + 20 Combine like terms: 0 + 20 = 20 -13t = 20 Divide each side by '-13'. t = -1.538461538 Simplifying t = -1.538461538
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