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Simplifying 2(4t + 5) = t + -18 Reorder the terms: 2(5 + 4t) = t + -18 (5 * 2 + 4t * 2) = t + -18 (10 + 8t) = t + -18 Reorder the terms: 10 + 8t = -18 + t Solving 10 + 8t = -18 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 10 + 8t + -1t = -18 + t + -1t Combine like terms: 8t + -1t = 7t 10 + 7t = -18 + t + -1t Combine like terms: t + -1t = 0 10 + 7t = -18 + 0 10 + 7t = -18 Add '-10' to each side of the equation. 10 + -10 + 7t = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 7t = -18 + -10 7t = -18 + -10 Combine like terms: -18 + -10 = -28 7t = -28 Divide each side by '7'. t = -4 Simplifying t = -4
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