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Simplifying 54 + 5t = 84 + 2t Solving 54 + 5t = 84 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 54 + 5t + -2t = 84 + 2t + -2t Combine like terms: 5t + -2t = 3t 54 + 3t = 84 + 2t + -2t Combine like terms: 2t + -2t = 0 54 + 3t = 84 + 0 54 + 3t = 84 Add '-54' to each side of the equation. 54 + -54 + 3t = 84 + -54 Combine like terms: 54 + -54 = 0 0 + 3t = 84 + -54 3t = 84 + -54 Combine like terms: 84 + -54 = 30 3t = 30 Divide each side by '3'. t = 10 Simplifying t = 10
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