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