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Simplifying 9 + 4t + -1(5t + 5) + -1(4t + 6) = 0 Reorder the terms: 9 + 4t + -1(5 + 5t) + -1(4t + 6) = 0 9 + 4t + (5 * -1 + 5t * -1) + -1(4t + 6) = 0 9 + 4t + (-5 + -5t) + -1(4t + 6) = 0 Reorder the terms: 9 + 4t + -5 + -5t + -1(6 + 4t) = 0 9 + 4t + -5 + -5t + (6 * -1 + 4t * -1) = 0 9 + 4t + -5 + -5t + (-6 + -4t) = 0 Reorder the terms: 9 + -5 + -6 + 4t + -5t + -4t = 0 Combine like terms: 9 + -5 = 4 4 + -6 + 4t + -5t + -4t = 0 Combine like terms: 4 + -6 = -2 -2 + 4t + -5t + -4t = 0 Combine like terms: 4t + -5t = -1t -2 + -1t + -4t = 0 Combine like terms: -1t + -4t = -5t -2 + -5t = 0 Solving -2 + -5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5t = 0 + 2 -5t = 0 + 2 Combine like terms: 0 + 2 = 2 -5t = 2 Divide each side by '-5'. t = -0.4 Simplifying t = -0.4
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