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Simplifying 3t + 7 + -5t + 13 = -7t + -3 + 6t + 27 Reorder the terms: 7 + 13 + 3t + -5t = -7t + -3 + 6t + 27 Combine like terms: 7 + 13 = 20 20 + 3t + -5t = -7t + -3 + 6t + 27 Combine like terms: 3t + -5t = -2t 20 + -2t = -7t + -3 + 6t + 27 Reorder the terms: 20 + -2t = -3 + 27 + -7t + 6t Combine like terms: -3 + 27 = 24 20 + -2t = 24 + -7t + 6t Combine like terms: -7t + 6t = -1t 20 + -2t = 24 + -1t Solving 20 + -2t = 24 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 20 + -2t + t = 24 + -1t + t Combine like terms: -2t + t = -1t 20 + -1t = 24 + -1t + t Combine like terms: -1t + t = 0 20 + -1t = 24 + 0 20 + -1t = 24 Add '-20' to each side of the equation. 20 + -20 + -1t = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -1t = 24 + -20 -1t = 24 + -20 Combine like terms: 24 + -20 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4
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