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Simplifying 2t + -8 = 3t + 21 Reorder the terms: -8 + 2t = 3t + 21 Reorder the terms: -8 + 2t = 21 + 3t Solving -8 + 2t = 21 + 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. -8 + 2t + -3t = 21 + 3t + -3t Combine like terms: 2t + -3t = -1t -8 + -1t = 21 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + -1t = 21 + 0 -8 + -1t = 21 Add '8' to each side of the equation. -8 + 8 + -1t = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 21 + 8 -1t = 21 + 8 Combine like terms: 21 + 8 = 29 -1t = 29 Divide each side by '-1'. t = -29 Simplifying t = -29
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