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Simplifying 2t + -6 = 3t + 21 Reorder the terms: -6 + 2t = 3t + 21 Reorder the terms: -6 + 2t = 21 + 3t Solving -6 + 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. -6 + 2t + -3t = 21 + 3t + -3t Combine like terms: 2t + -3t = -1t -6 + -1t = 21 + 3t + -3t Combine like terms: 3t + -3t = 0 -6 + -1t = 21 + 0 -6 + -1t = 21 Add '6' to each side of the equation. -6 + 6 + -1t = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -1t = 21 + 6 -1t = 21 + 6 Combine like terms: 21 + 6 = 27 -1t = 27 Divide each side by '-1'. t = -27 Simplifying t = -27

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