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Simplifying 2(t + 5) = t + 8 Reorder the terms: 2(5 + t) = t + 8 (5 * 2 + t * 2) = t + 8 (10 + 2t) = t + 8 Reorder the terms: 10 + 2t = 8 + t Solving 10 + 2t = 8 + 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 + 2t + -1t = 8 + t + -1t Combine like terms: 2t + -1t = 1t 10 + 1t = 8 + t + -1t Combine like terms: t + -1t = 0 10 + 1t = 8 + 0 10 + 1t = 8 Add '-10' to each side of the equation. 10 + -10 + 1t = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1t = 8 + -10 1t = 8 + -10 Combine like terms: 8 + -10 = -2 1t = -2 Divide each side by '1'. t = -2 Simplifying t = -2
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