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