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Simplifying t + 38 = 3t + 28 Reorder the terms: 38 + t = 3t + 28 Reorder the terms: 38 + t = 28 + 3t Solving 38 + t = 28 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 38 + t + -3t = 28 + 3t + -3t Combine like terms: t + -3t = -2t 38 + -2t = 28 + 3t + -3t Combine like terms: 3t + -3t = 0 38 + -2t = 28 + 0 38 + -2t = 28 Add '-38' to each side of the equation. 38 + -38 + -2t = 28 + -38 Combine like terms: 38 + -38 = 0 0 + -2t = 28 + -38 -2t = 28 + -38 Combine like terms: 28 + -38 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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