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Simplifying 3(2t + 1) = 8t + 13 Reorder the terms: 3(1 + 2t) = 8t + 13 (1 * 3 + 2t * 3) = 8t + 13 (3 + 6t) = 8t + 13 Reorder the terms: 3 + 6t = 13 + 8t Solving 3 + 6t = 13 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 3 + 6t + -8t = 13 + 8t + -8t Combine like terms: 6t + -8t = -2t 3 + -2t = 13 + 8t + -8t Combine like terms: 8t + -8t = 0 3 + -2t = 13 + 0 3 + -2t = 13 Add '-3' to each side of the equation. 3 + -3 + -2t = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 13 + -3 -2t = 13 + -3 Combine like terms: 13 + -3 = 10 -2t = 10 Divide each side by '-2'. t = -5 Simplifying t = -5
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