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Simplifying 1 + 7(3t + 2) = t + -5 Reorder the terms: 1 + 7(2 + 3t) = t + -5 1 + (2 * 7 + 3t * 7) = t + -5 1 + (14 + 21t) = t + -5 Combine like terms: 1 + 14 = 15 15 + 21t = t + -5 Reorder the terms: 15 + 21t = -5 + t Solving 15 + 21t = -5 + 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. 15 + 21t + -1t = -5 + t + -1t Combine like terms: 21t + -1t = 20t 15 + 20t = -5 + t + -1t Combine like terms: t + -1t = 0 15 + 20t = -5 + 0 15 + 20t = -5 Add '-15' to each side of the equation. 15 + -15 + 20t = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 20t = -5 + -15 20t = -5 + -15 Combine like terms: -5 + -15 = -20 20t = -20 Divide each side by '20'. t = -1 Simplifying t = -1
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