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Simplifying 2t + 21 = 3t + 15 Reorder the terms: 21 + 2t = 3t + 15 Reorder the terms: 21 + 2t = 15 + 3t Solving 21 + 2t = 15 + 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. 21 + 2t + -3t = 15 + 3t + -3t Combine like terms: 2t + -3t = -1t 21 + -1t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 21 + -1t = 15 + 0 21 + -1t = 15 Add '-21' to each side of the equation. 21 + -21 + -1t = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = 15 + -21 -1t = 15 + -21 Combine like terms: 15 + -21 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6
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