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Simplifying 7 + 12t + -3 = 7t + 84 + -5t Reorder the terms: 7 + -3 + 12t = 7t + 84 + -5t Combine like terms: 7 + -3 = 4 4 + 12t = 7t + 84 + -5t Reorder the terms: 4 + 12t = 84 + 7t + -5t Combine like terms: 7t + -5t = 2t 4 + 12t = 84 + 2t Solving 4 + 12t = 84 + 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. 4 + 12t + -2t = 84 + 2t + -2t Combine like terms: 12t + -2t = 10t 4 + 10t = 84 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + 10t = 84 + 0 4 + 10t = 84 Add '-4' to each side of the equation. 4 + -4 + 10t = 84 + -4 Combine like terms: 4 + -4 = 0 0 + 10t = 84 + -4 10t = 84 + -4 Combine like terms: 84 + -4 = 80 10t = 80 Divide each side by '10'. t = 8 Simplifying t = 8
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