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Simplifying 6 + 3t + -1 = 7t + 21 + -2t Reorder the terms: 6 + -1 + 3t = 7t + 21 + -2t Combine like terms: 6 + -1 = 5 5 + 3t = 7t + 21 + -2t Reorder the terms: 5 + 3t = 21 + 7t + -2t Combine like terms: 7t + -2t = 5t 5 + 3t = 21 + 5t Solving 5 + 3t = 21 + 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. 5 + 3t + -5t = 21 + 5t + -5t Combine like terms: 3t + -5t = -2t 5 + -2t = 21 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -2t = 21 + 0 5 + -2t = 21 Add '-5' to each side of the equation. 5 + -5 + -2t = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 21 + -5 -2t = 21 + -5 Combine like terms: 21 + -5 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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