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Simplifying 5 + 12t + -3 = 6t + 56 + -3t Reorder the terms: 5 + -3 + 12t = 6t + 56 + -3t Combine like terms: 5 + -3 = 2 2 + 12t = 6t + 56 + -3t Reorder the terms: 2 + 12t = 56 + 6t + -3t Combine like terms: 6t + -3t = 3t 2 + 12t = 56 + 3t Solving 2 + 12t = 56 + 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. 2 + 12t + -3t = 56 + 3t + -3t Combine like terms: 12t + -3t = 9t 2 + 9t = 56 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 9t = 56 + 0 2 + 9t = 56 Add '-2' to each side of the equation. 2 + -2 + 9t = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 9t = 56 + -2 9t = 56 + -2 Combine like terms: 56 + -2 = 54 9t = 54 Divide each side by '9'. t = 6 Simplifying t = 6
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