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Simplifying 7 + 4t + -1(3t + 6) + -1(4t + 6) = 0 Reorder the terms: 7 + 4t + -1(6 + 3t) + -1(4t + 6) = 0 7 + 4t + (6 * -1 + 3t * -1) + -1(4t + 6) = 0 7 + 4t + (-6 + -3t) + -1(4t + 6) = 0 Reorder the terms: 7 + 4t + -6 + -3t + -1(6 + 4t) = 0 7 + 4t + -6 + -3t + (6 * -1 + 4t * -1) = 0 7 + 4t + -6 + -3t + (-6 + -4t) = 0 Reorder the terms: 7 + -6 + -6 + 4t + -3t + -4t = 0 Combine like terms: 7 + -6 = 1 1 + -6 + 4t + -3t + -4t = 0 Combine like terms: 1 + -6 = -5 -5 + 4t + -3t + -4t = 0 Combine like terms: 4t + -3t = 1t -5 + 1t + -4t = 0 Combine like terms: 1t + -4t = -3t -5 + -3t = 0 Solving -5 + -3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = 0 + 5 -3t = 0 + 5 Combine like terms: 0 + 5 = 5 -3t = 5 Divide each side by '-3'. t = -1.666666667 Simplifying t = -1.666666667
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