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Simplifying 7 + 2t + -5 = 7t + 5 + -4t Reorder the terms: 7 + -5 + 2t = 7t + 5 + -4t Combine like terms: 7 + -5 = 2 2 + 2t = 7t + 5 + -4t Reorder the terms: 2 + 2t = 5 + 7t + -4t Combine like terms: 7t + -4t = 3t 2 + 2t = 5 + 3t Solving 2 + 2t = 5 + 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. 2 + 2t + -3t = 5 + 3t + -3t Combine like terms: 2t + -3t = -1t 2 + -1t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + -1t = 5 + 0 2 + -1t = 5 Add '-2' to each side of the equation. 2 + -2 + -1t = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 5 + -2 -1t = 5 + -2 Combine like terms: 5 + -2 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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