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Simplifying 5t + 1 = 7t + -2 Reorder the terms: 1 + 5t = 7t + -2 Reorder the terms: 1 + 5t = -2 + 7t Solving 1 + 5t = -2 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 1 + 5t + -7t = -2 + 7t + -7t Combine like terms: 5t + -7t = -2t 1 + -2t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 1 + -2t = -2 + 0 1 + -2t = -2 Add '-1' to each side of the equation. 1 + -1 + -2t = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = -2 + -1 -2t = -2 + -1 Combine like terms: -2 + -1 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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