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Simplifying 4t + 1 = 7t + -50 Reorder the terms: 1 + 4t = 7t + -50 Reorder the terms: 1 + 4t = -50 + 7t Solving 1 + 4t = -50 + 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 + 4t + -7t = -50 + 7t + -7t Combine like terms: 4t + -7t = -3t 1 + -3t = -50 + 7t + -7t Combine like terms: 7t + -7t = 0 1 + -3t = -50 + 0 1 + -3t = -50 Add '-1' to each side of the equation. 1 + -1 + -3t = -50 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = -50 + -1 -3t = -50 + -1 Combine like terms: -50 + -1 = -51 -3t = -51 Divide each side by '-3'. t = 17 Simplifying t = 17
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