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Simplifying 7 + -3t + 2(2t + 4) = 18 Reorder the terms: 7 + -3t + 2(4 + 2t) = 18 7 + -3t + (4 * 2 + 2t * 2) = 18 7 + -3t + (8 + 4t) = 18 Reorder the terms: 7 + 8 + -3t + 4t = 18 Combine like terms: 7 + 8 = 15 15 + -3t + 4t = 18 Combine like terms: -3t + 4t = 1t 15 + 1t = 18 Solving 15 + 1t = 18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1t = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 1t = 18 + -15 1t = 18 + -15 Combine like terms: 18 + -15 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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