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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 = 42 42 + 2t + -12t = 14 Combine like terms: 2t + -12t = -10t 42 + -10t = 14 Solving 42 + -10t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -10t = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -10t = 14 + -42 -10t = 14 + -42 Combine like terms: 14 + -42 = -28 -10t = -28 Divide each side by '-10'. t = 2.8 Simplifying t = 2.8
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