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Simplifying 12t + 780 = 15t + 458 Reorder the terms: 780 + 12t = 15t + 458 Reorder the terms: 780 + 12t = 458 + 15t Solving 780 + 12t = 458 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 780 + 12t + -15t = 458 + 15t + -15t Combine like terms: 12t + -15t = -3t 780 + -3t = 458 + 15t + -15t Combine like terms: 15t + -15t = 0 780 + -3t = 458 + 0 780 + -3t = 458 Add '-780' to each side of the equation. 780 + -780 + -3t = 458 + -780 Combine like terms: 780 + -780 = 0 0 + -3t = 458 + -780 -3t = 458 + -780 Combine like terms: 458 + -780 = -322 -3t = -322 Divide each side by '-3'. t = 107.3333333 Simplifying t = 107.3333333
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