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Simplifying 7t + -1(4t + 2) = 8 Reorder the terms: 7t + -1(2 + 4t) = 8 7t + (2 * -1 + 4t * -1) = 8 7t + (-2 + -4t) = 8 Reorder the terms: -2 + 7t + -4t = 8 Combine like terms: 7t + -4t = 3t -2 + 3t = 8 Solving -2 + 3t = 8 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 + 3t = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = 8 + 2 3t = 8 + 2 Combine like terms: 8 + 2 = 10 3t = 10 Divide each side by '3'. t = 3.333333333 Simplifying t = 3.333333333
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