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Simplifying 3t + -14 = 2t + 10 Reorder the terms: -14 + 3t = 2t + 10 Reorder the terms: -14 + 3t = 10 + 2t Solving -14 + 3t = 10 + 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. -14 + 3t + -2t = 10 + 2t + -2t Combine like terms: 3t + -2t = 1t -14 + 1t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 -14 + 1t = 10 + 0 -14 + 1t = 10 Add '14' to each side of the equation. -14 + 14 + 1t = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 1t = 10 + 14 1t = 10 + 14 Combine like terms: 10 + 14 = 24 1t = 24 Divide each side by '1'. t = 24 Simplifying t = 24
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