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Simplifying 4t + 1 = 3t + 1 + -7t Reorder the terms: 1 + 4t = 3t + 1 + -7t Reorder the terms: 1 + 4t = 1 + 3t + -7t Combine like terms: 3t + -7t = -4t 1 + 4t = 1 + -4t Add '-1' to each side of the equation. 1 + -1 + 4t = 1 + -1 + -4t Combine like terms: 1 + -1 = 0 0 + 4t = 1 + -1 + -4t 4t = 1 + -1 + -4t Combine like terms: 1 + -1 = 0 4t = 0 + -4t 4t = -4t Solving 4t = -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 4t + 4t = -4t + 4t Combine like terms: 4t + 4t = 8t 8t = -4t + 4t Combine like terms: -4t + 4t = 0 8t = 0 Divide each side by '8'. t = 0 Simplifying t = 0
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