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Simplifying 3 + 2t + -2 = 9t + 6 + -2t Reorder the terms: 3 + -2 + 2t = 9t + 6 + -2t Combine like terms: 3 + -2 = 1 1 + 2t = 9t + 6 + -2t Reorder the terms: 1 + 2t = 6 + 9t + -2t Combine like terms: 9t + -2t = 7t 1 + 2t = 6 + 7t Solving 1 + 2t = 6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 1 + 2t + -7t = 6 + 7t + -7t Combine like terms: 2t + -7t = -5t 1 + -5t = 6 + 7t + -7t Combine like terms: 7t + -7t = 0 1 + -5t = 6 + 0 1 + -5t = 6 Add '-1' to each side of the equation. 1 + -1 + -5t = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5t = 6 + -1 -5t = 6 + -1 Combine like terms: 6 + -1 = 5 -5t = 5 Divide each side by '-5'. t = -1 Simplifying t = -1
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