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Simplifying 3t + 54 = 4t + 16 Reorder the terms: 54 + 3t = 4t + 16 Reorder the terms: 54 + 3t = 16 + 4t Solving 54 + 3t = 16 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 54 + 3t + -4t = 16 + 4t + -4t Combine like terms: 3t + -4t = -1t 54 + -1t = 16 + 4t + -4t Combine like terms: 4t + -4t = 0 54 + -1t = 16 + 0 54 + -1t = 16 Add '-54' to each side of the equation. 54 + -54 + -1t = 16 + -54 Combine like terms: 54 + -54 = 0 0 + -1t = 16 + -54 -1t = 16 + -54 Combine like terms: 16 + -54 = -38 -1t = -38 Divide each side by '-1'. t = 38 Simplifying t = 38
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