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Simplifying 2t + 2 + 5t = 3t + 2 Reorder the terms: 2 + 2t + 5t = 3t + 2 Combine like terms: 2t + 5t = 7t 2 + 7t = 3t + 2 Reorder the terms: 2 + 7t = 2 + 3t Add '-2' to each side of the equation. 2 + -2 + 7t = 2 + -2 + 3t Combine like terms: 2 + -2 = 0 0 + 7t = 2 + -2 + 3t 7t = 2 + -2 + 3t Combine like terms: 2 + -2 = 0 7t = 0 + 3t 7t = 3t Solving 7t = 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. 7t + -3t = 3t + -3t Combine like terms: 7t + -3t = 4t 4t = 3t + -3t Combine like terms: 3t + -3t = 0 4t = 0 Divide each side by '4'. t = 0 Simplifying t = 0
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