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Simplifying 8 + 3t + -1(4t + 4) + -1(4t + 5) = 0 Reorder the terms: 8 + 3t + -1(4 + 4t) + -1(4t + 5) = 0 8 + 3t + (4 * -1 + 4t * -1) + -1(4t + 5) = 0 8 + 3t + (-4 + -4t) + -1(4t + 5) = 0 Reorder the terms: 8 + 3t + -4 + -4t + -1(5 + 4t) = 0 8 + 3t + -4 + -4t + (5 * -1 + 4t * -1) = 0 8 + 3t + -4 + -4t + (-5 + -4t) = 0 Reorder the terms: 8 + -4 + -5 + 3t + -4t + -4t = 0 Combine like terms: 8 + -4 = 4 4 + -5 + 3t + -4t + -4t = 0 Combine like terms: 4 + -5 = -1 -1 + 3t + -4t + -4t = 0 Combine like terms: 3t + -4t = -1t -1 + -1t + -4t = 0 Combine like terms: -1t + -4t = -5t -1 + -5t = 0 Solving -1 + -5t = 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 + -5t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5t = 0 + 1 -5t = 0 + 1 Combine like terms: 0 + 1 = 1 -5t = 1 Divide each side by '-5'. t = -0.2 Simplifying t = -0.2
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