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Simplifying 6 + 12t + -3 = 8t + 33 + -6t Reorder the terms: 6 + -3 + 12t = 8t + 33 + -6t Combine like terms: 6 + -3 = 3 3 + 12t = 8t + 33 + -6t Reorder the terms: 3 + 12t = 33 + 8t + -6t Combine like terms: 8t + -6t = 2t 3 + 12t = 33 + 2t Solving 3 + 12t = 33 + 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. 3 + 12t + -2t = 33 + 2t + -2t Combine like terms: 12t + -2t = 10t 3 + 10t = 33 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 10t = 33 + 0 3 + 10t = 33 Add '-3' to each side of the equation. 3 + -3 + 10t = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 10t = 33 + -3 10t = 33 + -3 Combine like terms: 33 + -3 = 30 10t = 30 Divide each side by '10'. t = 3 Simplifying t = 3
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