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Simplifying 2(t + 12) + -6(2t + 3) = 14 Reorder the terms: 2(12 + t) + -6(2t + 3) = 14 (12 * 2 + t * 2) + -6(2t + 3) = 14 (24 + 2t) + -6(2t + 3) = 14 Reorder the terms: 24 + 2t + -6(3 + 2t) = 14 24 + 2t + (3 * -6 + 2t * -6) = 14 24 + 2t + (-18 + -12t) = 14 Reorder the terms: 24 + -18 + 2t + -12t = 14 Combine like terms: 24 + -18 = 6 6 + 2t + -12t = 14 Combine like terms: 2t + -12t = -10t 6 + -10t = 14 Solving 6 + -10t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -10t = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -10t = 14 + -6 -10t = 14 + -6 Combine like terms: 14 + -6 = 8 -10t = 8 Divide each side by '-10'. t = -0.8 Simplifying t = -0.8
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