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Simplifying 35t + -14 = 3t + 2 Reorder the terms: -14 + 35t = 3t + 2 Reorder the terms: -14 + 35t = 2 + 3t Solving -14 + 35t = 2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -14 + 35t + -3t = 2 + 3t + -3t Combine like terms: 35t + -3t = 32t -14 + 32t = 2 + 3t + -3t Combine like terms: 3t + -3t = 0 -14 + 32t = 2 + 0 -14 + 32t = 2 Add '14' to each side of the equation. -14 + 14 + 32t = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 32t = 2 + 14 32t = 2 + 14 Combine like terms: 2 + 14 = 16 32t = 16 Divide each side by '32'. t = 0.5 Simplifying t = 0.5
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