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Simplifying 3t + 9 = 2t + -6 Reorder the terms: 9 + 3t = 2t + -6 Reorder the terms: 9 + 3t = -6 + 2t Solving 9 + 3t = -6 + 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. 9 + 3t + -2t = -6 + 2t + -2t Combine like terms: 3t + -2t = 1t 9 + 1t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 9 + 1t = -6 + 0 9 + 1t = -6 Add '-9' to each side of the equation. 9 + -9 + 1t = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 1t = -6 + -9 1t = -6 + -9 Combine like terms: -6 + -9 = -15 1t = -15 Divide each side by '1'. t = -15 Simplifying t = -15
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