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Simplifying 7 + 4t + -1(3t + 6) + -1(5t + 9) = 0 Reorder the terms: 7 + 4t + -1(6 + 3t) + -1(5t + 9) = 0 7 + 4t + (6 * -1 + 3t * -1) + -1(5t + 9) = 0 7 + 4t + (-6 + -3t) + -1(5t + 9) = 0 Reorder the terms: 7 + 4t + -6 + -3t + -1(9 + 5t) = 0 7 + 4t + -6 + -3t + (9 * -1 + 5t * -1) = 0 7 + 4t + -6 + -3t + (-9 + -5t) = 0 Reorder the terms: 7 + -6 + -9 + 4t + -3t + -5t = 0 Combine like terms: 7 + -6 = 1 1 + -9 + 4t + -3t + -5t = 0 Combine like terms: 1 + -9 = -8 -8 + 4t + -3t + -5t = 0 Combine like terms: 4t + -3t = 1t -8 + 1t + -5t = 0 Combine like terms: 1t + -5t = -4t -8 + -4t = 0 Solving -8 + -4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -4t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4t = 0 + 8 -4t = 0 + 8 Combine like terms: 0 + 8 = 8 -4t = 8 Divide each side by '-4'. t = -2 Simplifying t = -2
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