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Simplifying 13 + 3(2t + 1) = 4t Reorder the terms: 13 + 3(1 + 2t) = 4t 13 + (1 * 3 + 2t * 3) = 4t 13 + (3 + 6t) = 4t Combine like terms: 13 + 3 = 16 16 + 6t = 4t Solving 16 + 6t = 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 16 + 6t + -4t = 4t + -4t Combine like terms: 6t + -4t = 2t 16 + 2t = 4t + -4t Combine like terms: 4t + -4t = 0 16 + 2t = 0 Add '-16' to each side of the equation. 16 + -16 + 2t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2t = 0 + -16 2t = 0 + -16 Combine like terms: 0 + -16 = -16 2t = -16 Divide each side by '2'. t = -8 Simplifying t = -8
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