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Simplifying 27t + 13 + -22t = 3t + -19 + 10 Reorder the terms: 13 + 27t + -22t = 3t + -19 + 10 Combine like terms: 27t + -22t = 5t 13 + 5t = 3t + -19 + 10 Reorder the terms: 13 + 5t = -19 + 10 + 3t Combine like terms: -19 + 10 = -9 13 + 5t = -9 + 3t Solving 13 + 5t = -9 + 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. 13 + 5t + -3t = -9 + 3t + -3t Combine like terms: 5t + -3t = 2t 13 + 2t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 13 + 2t = -9 + 0 13 + 2t = -9 Add '-13' to each side of the equation. 13 + -13 + 2t = -9 + -13 Combine like terms: 13 + -13 = 0 0 + 2t = -9 + -13 2t = -9 + -13 Combine like terms: -9 + -13 = -22 2t = -22 Divide each side by '2'. t = -11 Simplifying t = -11
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