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Simplifying 7t + 12 = 5t + -8 Reorder the terms: 12 + 7t = 5t + -8 Reorder the terms: 12 + 7t = -8 + 5t Solving 12 + 7t = -8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 12 + 7t + -5t = -8 + 5t + -5t Combine like terms: 7t + -5t = 2t 12 + 2t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + 2t = -8 + 0 12 + 2t = -8 Add '-12' to each side of the equation. 12 + -12 + 2t = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = -8 + -12 2t = -8 + -12 Combine like terms: -8 + -12 = -20 2t = -20 Divide each side by '2'. t = -10 Simplifying t = -10
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