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Simplifying 3 + 5t + -1(4t + 2) + -1(4t + 8) = 0 Reorder the terms: 3 + 5t + -1(2 + 4t) + -1(4t + 8) = 0 3 + 5t + (2 * -1 + 4t * -1) + -1(4t + 8) = 0 3 + 5t + (-2 + -4t) + -1(4t + 8) = 0 Reorder the terms: 3 + 5t + -2 + -4t + -1(8 + 4t) = 0 3 + 5t + -2 + -4t + (8 * -1 + 4t * -1) = 0 3 + 5t + -2 + -4t + (-8 + -4t) = 0 Reorder the terms: 3 + -2 + -8 + 5t + -4t + -4t = 0 Combine like terms: 3 + -2 = 1 1 + -8 + 5t + -4t + -4t = 0 Combine like terms: 1 + -8 = -7 -7 + 5t + -4t + -4t = 0 Combine like terms: 5t + -4t = 1t -7 + 1t + -4t = 0 Combine like terms: 1t + -4t = -3t -7 + -3t = 0 Solving -7 + -3t = 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 + -3t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3t = 0 + 7 -3t = 0 + 7 Combine like terms: 0 + 7 = 7 -3t = 7 Divide each side by '-3'. t = -2.333333333 Simplifying t = -2.333333333
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