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Simplifying 2t + 54 = 7t + 39 Reorder the terms: 54 + 2t = 7t + 39 Reorder the terms: 54 + 2t = 39 + 7t Solving 54 + 2t = 39 + 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. 54 + 2t + -7t = 39 + 7t + -7t Combine like terms: 2t + -7t = -5t 54 + -5t = 39 + 7t + -7t Combine like terms: 7t + -7t = 0 54 + -5t = 39 + 0 54 + -5t = 39 Add '-54' to each side of the equation. 54 + -54 + -5t = 39 + -54 Combine like terms: 54 + -54 = 0 0 + -5t = 39 + -54 -5t = 39 + -54 Combine like terms: 39 + -54 = -15 -5t = -15 Divide each side by '-5'. t = 3 Simplifying t = 3
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