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Simplifying (2t + 12) + -6(2t + -3) = 14 Reorder the terms: (12 + 2t) + -6(2t + -3) = 14 Remove parenthesis around (12 + 2t) 12 + 2t + -6(2t + -3) = 14 Reorder the terms: 12 + 2t + -6(-3 + 2t) = 14 12 + 2t + (-3 * -6 + 2t * -6) = 14 12 + 2t + (18 + -12t) = 14 Reorder the terms: 12 + 18 + 2t + -12t = 14 Combine like terms: 12 + 18 = 30 30 + 2t + -12t = 14 Combine like terms: 2t + -12t = -10t 30 + -10t = 14 Solving 30 + -10t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -10t = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -10t = 14 + -30 -10t = 14 + -30 Combine like terms: 14 + -30 = -16 -10t = -16 Divide each side by '-10'. t = 1.6 Simplifying t = 1.6
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