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Simplifying 3t + 1 = 7t + -1 Reorder the terms: 1 + 3t = 7t + -1 Reorder the terms: 1 + 3t = -1 + 7t Solving 1 + 3t = -1 + 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 + 3t + -7t = -1 + 7t + -7t Combine like terms: 3t + -7t = -4t 1 + -4t = -1 + 7t + -7t Combine like terms: 7t + -7t = 0 1 + -4t = -1 + 0 1 + -4t = -1 Add '-1' to each side of the equation. 1 + -1 + -4t = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = -1 + -1 -4t = -1 + -1 Combine like terms: -1 + -1 = -2 -4t = -2 Divide each side by '-4'. t = 0.5 Simplifying t = 0.5
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