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Simplifying 2(3t + 1) = 4(2t + -1) Reorder the terms: 2(1 + 3t) = 4(2t + -1) (1 * 2 + 3t * 2) = 4(2t + -1) (2 + 6t) = 4(2t + -1) Reorder the terms: 2 + 6t = 4(-1 + 2t) 2 + 6t = (-1 * 4 + 2t * 4) 2 + 6t = (-4 + 8t) Solving 2 + 6t = -4 + 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. 2 + 6t + -8t = -4 + 8t + -8t Combine like terms: 6t + -8t = -2t 2 + -2t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 2 + -2t = -4 + 0 2 + -2t = -4 Add '-2' to each side of the equation. 2 + -2 + -2t = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = -4 + -2 -2t = -4 + -2 Combine like terms: -4 + -2 = -6 -2t = -6 Divide each side by '-2'. t = 3 Simplifying t = 3
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