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Simplifying 8t + -2(1 + 3t) = 21 8t + (1 * -2 + 3t * -2) = 21 8t + (-2 + -6t) = 21 Reorder the terms: -2 + 8t + -6t = 21 Combine like terms: 8t + -6t = 2t -2 + 2t = 21 Solving -2 + 2t = 21 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 + 2t = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 21 + 2 2t = 21 + 2 Combine like terms: 21 + 2 = 23 2t = 23 Divide each side by '2'. t = 11.5 Simplifying t = 11.5
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