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Simplifying 29t + 15 + -22t = 5t + -21 + 12 Reorder the terms: 15 + 29t + -22t = 5t + -21 + 12 Combine like terms: 29t + -22t = 7t 15 + 7t = 5t + -21 + 12 Reorder the terms: 15 + 7t = -21 + 12 + 5t Combine like terms: -21 + 12 = -9 15 + 7t = -9 + 5t Solving 15 + 7t = -9 + 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. 15 + 7t + -5t = -9 + 5t + -5t Combine like terms: 7t + -5t = 2t 15 + 2t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + 2t = -9 + 0 15 + 2t = -9 Add '-15' to each side of the equation. 15 + -15 + 2t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 2t = -9 + -15 2t = -9 + -15 Combine like terms: -9 + -15 = -24 2t = -24 Divide each side by '2'. t = -12 Simplifying t = -12
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