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Simplifying (8t + 5) + -1(4t + 2) + -1(t + 7) = 0 Reorder the terms: (5 + 8t) + -1(4t + 2) + -1(t + 7) = 0 Remove parenthesis around (5 + 8t) 5 + 8t + -1(4t + 2) + -1(t + 7) = 0 Reorder the terms: 5 + 8t + -1(2 + 4t) + -1(t + 7) = 0 5 + 8t + (2 * -1 + 4t * -1) + -1(t + 7) = 0 5 + 8t + (-2 + -4t) + -1(t + 7) = 0 Reorder the terms: 5 + 8t + -2 + -4t + -1(7 + t) = 0 5 + 8t + -2 + -4t + (7 * -1 + t * -1) = 0 5 + 8t + -2 + -4t + (-7 + -1t) = 0 Reorder the terms: 5 + -2 + -7 + 8t + -4t + -1t = 0 Combine like terms: 5 + -2 = 3 3 + -7 + 8t + -4t + -1t = 0 Combine like terms: 3 + -7 = -4 -4 + 8t + -4t + -1t = 0 Combine like terms: 8t + -4t = 4t -4 + 4t + -1t = 0 Combine like terms: 4t + -1t = 3t -4 + 3t = 0 Solving -4 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 0 + 4 3t = 0 + 4 Combine like terms: 0 + 4 = 4 3t = 4 Divide each side by '3'. t = 1.333333333 Simplifying t = 1.333333333
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