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Simplifying (12t + 5) + (3t + -7) = 0 Reorder the terms: (5 + 12t) + (3t + -7) = 0 Remove parenthesis around (5 + 12t) 5 + 12t + (3t + -7) = 0 Reorder the terms: 5 + 12t + (-7 + 3t) = 0 Remove parenthesis around (-7 + 3t) 5 + 12t + -7 + 3t = 0 Reorder the terms: 5 + -7 + 12t + 3t = 0 Combine like terms: 5 + -7 = -2 -2 + 12t + 3t = 0 Combine like terms: 12t + 3t = 15t -2 + 15t = 0 Solving -2 + 15t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 15t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 15t = 0 + 2 15t = 0 + 2 Combine like terms: 0 + 2 = 2 15t = 2 Divide each side by '15'. t = 0.1333333333 Simplifying t = 0.1333333333
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