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Simplifying 5 + 4t + -1(3t + 9) + -1(5t + 7) = 0 Reorder the terms: 5 + 4t + -1(9 + 3t) + -1(5t + 7) = 0 5 + 4t + (9 * -1 + 3t * -1) + -1(5t + 7) = 0 5 + 4t + (-9 + -3t) + -1(5t + 7) = 0 Reorder the terms: 5 + 4t + -9 + -3t + -1(7 + 5t) = 0 5 + 4t + -9 + -3t + (7 * -1 + 5t * -1) = 0 5 + 4t + -9 + -3t + (-7 + -5t) = 0 Reorder the terms: 5 + -9 + -7 + 4t + -3t + -5t = 0 Combine like terms: 5 + -9 = -4 -4 + -7 + 4t + -3t + -5t = 0 Combine like terms: -4 + -7 = -11 -11 + 4t + -3t + -5t = 0 Combine like terms: 4t + -3t = 1t -11 + 1t + -5t = 0 Combine like terms: 1t + -5t = -4t -11 + -4t = 0 Solving -11 + -4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4t = 0 + 11 -4t = 0 + 11 Combine like terms: 0 + 11 = 11 -4t = 11 Divide each side by '-4'. t = -2.75 Simplifying t = -2.75
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