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Simplifying 5t + 5 = -2 + -7t Reorder the terms: 5 + 5t = -2 + -7t Solving 5 + 5t = -2 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 5 + 5t + 7t = -2 + -7t + 7t Combine like terms: 5t + 7t = 12t 5 + 12t = -2 + -7t + 7t Combine like terms: -7t + 7t = 0 5 + 12t = -2 + 0 5 + 12t = -2 Add '-5' to each side of the equation. 5 + -5 + 12t = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 12t = -2 + -5 12t = -2 + -5 Combine like terms: -2 + -5 = -7 12t = -7 Divide each side by '12'. t = -0.5833333333 Simplifying t = -0.5833333333
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