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Simplifying 3(4t + 4) = (2t + -5) Reorder the terms: 3(4 + 4t) = (2t + -5) (4 * 3 + 4t * 3) = (2t + -5) (12 + 12t) = (2t + -5) Reorder the terms: 12 + 12t = (-5 + 2t) Remove parenthesis around (-5 + 2t) 12 + 12t = -5 + 2t Solving 12 + 12t = -5 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 12 + 12t + -2t = -5 + 2t + -2t Combine like terms: 12t + -2t = 10t 12 + 10t = -5 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + 10t = -5 + 0 12 + 10t = -5 Add '-12' to each side of the equation. 12 + -12 + 10t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 10t = -5 + -12 10t = -5 + -12 Combine like terms: -5 + -12 = -17 10t = -17 Divide each side by '10'. t = -1.7 Simplifying t = -1.7
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