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Simplifying (12t + 5) = (3t + -7) Reorder the terms: (5 + 12t) = (3t + -7) Remove parenthesis around (5 + 12t) 5 + 12t = (3t + -7) Reorder the terms: 5 + 12t = (-7 + 3t) Remove parenthesis around (-7 + 3t) 5 + 12t = -7 + 3t Solving 5 + 12t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 5 + 12t + -3t = -7 + 3t + -3t Combine like terms: 12t + -3t = 9t 5 + 9t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + 9t = -7 + 0 5 + 9t = -7 Add '-5' to each side of the equation. 5 + -5 + 9t = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 9t = -7 + -5 9t = -7 + -5 Combine like terms: -7 + -5 = -12 9t = -12 Divide each side by '9'. t = -1.333333333 Simplifying t = -1.333333333
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