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Simplifying 7t + 13 = -5t + 1 Reorder the terms: 13 + 7t = -5t + 1 Reorder the terms: 13 + 7t = 1 + -5t Solving 13 + 7t = 1 + -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. 13 + 7t + 5t = 1 + -5t + 5t Combine like terms: 7t + 5t = 12t 13 + 12t = 1 + -5t + 5t Combine like terms: -5t + 5t = 0 13 + 12t = 1 + 0 13 + 12t = 1 Add '-13' to each side of the equation. 13 + -13 + 12t = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 12t = 1 + -13 12t = 1 + -13 Combine like terms: 1 + -13 = -12 12t = -12 Divide each side by '12'. t = -1 Simplifying t = -1
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