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Simplifying 2(t + 2) = 2(13t + 2) + 12 Reorder the terms: 2(2 + t) = 2(13t + 2) + 12 (2 * 2 + t * 2) = 2(13t + 2) + 12 (4 + 2t) = 2(13t + 2) + 12 Reorder the terms: 4 + 2t = 2(2 + 13t) + 12 4 + 2t = (2 * 2 + 13t * 2) + 12 4 + 2t = (4 + 26t) + 12 Reorder the terms: 4 + 2t = 4 + 12 + 26t Combine like terms: 4 + 12 = 16 4 + 2t = 16 + 26t Solving 4 + 2t = 16 + 26t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-26t' to each side of the equation. 4 + 2t + -26t = 16 + 26t + -26t Combine like terms: 2t + -26t = -24t 4 + -24t = 16 + 26t + -26t Combine like terms: 26t + -26t = 0 4 + -24t = 16 + 0 4 + -24t = 16 Add '-4' to each side of the equation. 4 + -4 + -24t = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -24t = 16 + -4 -24t = 16 + -4 Combine like terms: 16 + -4 = 12 -24t = 12 Divide each side by '-24'. t = -0.5 Simplifying t = -0.5
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