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Simplifying 3t + 18 = 5t + 38 Reorder the terms: 18 + 3t = 5t + 38 Reorder the terms: 18 + 3t = 38 + 5t Solving 18 + 3t = 38 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 18 + 3t + -5t = 38 + 5t + -5t Combine like terms: 3t + -5t = -2t 18 + -2t = 38 + 5t + -5t Combine like terms: 5t + -5t = 0 18 + -2t = 38 + 0 18 + -2t = 38 Add '-18' to each side of the equation. 18 + -18 + -2t = 38 + -18 Combine like terms: 18 + -18 = 0 0 + -2t = 38 + -18 -2t = 38 + -18 Combine like terms: 38 + -18 = 20 -2t = 20 Divide each side by '-2'. t = -10 Simplifying t = -10
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