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Simplifying 3 + 4t + -1(2t + 5) + -1(4t + 5) = 0 Reorder the terms: 3 + 4t + -1(5 + 2t) + -1(4t + 5) = 0 3 + 4t + (5 * -1 + 2t * -1) + -1(4t + 5) = 0 3 + 4t + (-5 + -2t) + -1(4t + 5) = 0 Reorder the terms: 3 + 4t + -5 + -2t + -1(5 + 4t) = 0 3 + 4t + -5 + -2t + (5 * -1 + 4t * -1) = 0 3 + 4t + -5 + -2t + (-5 + -4t) = 0 Reorder the terms: 3 + -5 + -5 + 4t + -2t + -4t = 0 Combine like terms: 3 + -5 = -2 -2 + -5 + 4t + -2t + -4t = 0 Combine like terms: -2 + -5 = -7 -7 + 4t + -2t + -4t = 0 Combine like terms: 4t + -2t = 2t -7 + 2t + -4t = 0 Combine like terms: 2t + -4t = -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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