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Simplifying 3 + 3t + -1 = 7t + 14 + -2t Reorder the terms: 3 + -1 + 3t = 7t + 14 + -2t Combine like terms: 3 + -1 = 2 2 + 3t = 7t + 14 + -2t Reorder the terms: 2 + 3t = 14 + 7t + -2t Combine like terms: 7t + -2t = 5t 2 + 3t = 14 + 5t Solving 2 + 3t = 14 + 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. 2 + 3t + -5t = 14 + 5t + -5t Combine like terms: 3t + -5t = -2t 2 + -2t = 14 + 5t + -5t Combine like terms: 5t + -5t = 0 2 + -2t = 14 + 0 2 + -2t = 14 Add '-2' to each side of the equation. 2 + -2 + -2t = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = 14 + -2 -2t = 14 + -2 Combine like terms: 14 + -2 = 12 -2t = 12 Divide each side by '-2'. t = -6 Simplifying t = -6
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