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Simplifying 14 + -2(3 + -2t) = 2t + 10 14 + (3 * -2 + -2t * -2) = 2t + 10 14 + (-6 + 4t) = 2t + 10 Combine like terms: 14 + -6 = 8 8 + 4t = 2t + 10 Reorder the terms: 8 + 4t = 10 + 2t Solving 8 + 4t = 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. 8 + 4t + -2t = 10 + 2t + -2t Combine like terms: 4t + -2t = 2t 8 + 2t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + 2t = 10 + 0 8 + 2t = 10 Add '-8' to each side of the equation. 8 + -8 + 2t = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2t = 10 + -8 2t = 10 + -8 Combine like terms: 10 + -8 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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