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Simplifying 3t + 15 = 1t + -9 Reorder the terms: 15 + 3t = 1t + -9 Reorder the terms: 15 + 3t = -9 + 1t Solving 15 + 3t = -9 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 15 + 3t + -1t = -9 + 1t + -1t Combine like terms: 3t + -1t = 2t 15 + 2t = -9 + 1t + -1t Combine like terms: 1t + -1t = 0 15 + 2t = -9 + 0 15 + 2t = -9 Add '-15' to each side of the equation. 15 + -15 + 2t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 2t = -9 + -15 2t = -9 + -15 Combine like terms: -9 + -15 = -24 2t = -24 Divide each side by '2'. t = -12 Simplifying t = -12
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