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Simplifying 3t + -6 = 1t + 10 Reorder the terms: -6 + 3t = 1t + 10 Reorder the terms: -6 + 3t = 10 + 1t Solving -6 + 3t = 10 + 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. -6 + 3t + -1t = 10 + 1t + -1t Combine like terms: 3t + -1t = 2t -6 + 2t = 10 + 1t + -1t Combine like terms: 1t + -1t = 0 -6 + 2t = 10 + 0 -6 + 2t = 10 Add '6' to each side of the equation. -6 + 6 + 2t = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2t = 10 + 6 2t = 10 + 6 Combine like terms: 10 + 6 = 16 2t = 16 Divide each side by '2'. t = 8 Simplifying t = 8
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