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Simplifying 2(t + 5) = t + 22 Reorder the terms: 2(5 + t) = t + 22 (5 * 2 + t * 2) = t + 22 (10 + 2t) = t + 22 Reorder the terms: 10 + 2t = 22 + t Solving 10 + 2t = 22 + 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 = 22 + t + -1t Combine like terms: 2t + -1t = 1t 10 + 1t = 22 + t + -1t Combine like terms: t + -1t = 0 10 + 1t = 22 + 0 10 + 1t = 22 Add '-10' to each side of the equation. 10 + -10 + 1t = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 1t = 22 + -10 1t = 22 + -10 Combine like terms: 22 + -10 = 12 1t = 12 Divide each side by '1'. t = 12 Simplifying t = 12
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