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Simplifying 2(2t + 4) = 18 + -6t Reorder the terms: 2(4 + 2t) = 18 + -6t (4 * 2 + 2t * 2) = 18 + -6t (8 + 4t) = 18 + -6t Solving 8 + 4t = 18 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 8 + 4t + 6t = 18 + -6t + 6t Combine like terms: 4t + 6t = 10t 8 + 10t = 18 + -6t + 6t Combine like terms: -6t + 6t = 0 8 + 10t = 18 + 0 8 + 10t = 18 Add '-8' to each side of the equation. 8 + -8 + 10t = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 10t = 18 + -8 10t = 18 + -8 Combine like terms: 18 + -8 = 10 10t = 10 Divide each side by '10'. t = 1 Simplifying t = 1
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