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Simplifying 7t + 13 = 3t + 1 Reorder the terms: 13 + 7t = 3t + 1 Reorder the terms: 13 + 7t = 1 + 3t Solving 13 + 7t = 1 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 13 + 7t + -3t = 1 + 3t + -3t Combine like terms: 7t + -3t = 4t 13 + 4t = 1 + 3t + -3t Combine like terms: 3t + -3t = 0 13 + 4t = 1 + 0 13 + 4t = 1 Add '-13' to each side of the equation. 13 + -13 + 4t = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 4t = 1 + -13 4t = 1 + -13 Combine like terms: 1 + -13 = -12 4t = -12 Divide each side by '4'. t = -3 Simplifying t = -3
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