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Simplifying 2(5 + t) + 6t = t + 22 (5 * 2 + t * 2) + 6t = t + 22 (10 + 2t) + 6t = t + 22 Combine like terms: 2t + 6t = 8t 10 + 8t = t + 22 Reorder the terms: 10 + 8t = 22 + t Solving 10 + 8t = 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 + 8t + -1t = 22 + t + -1t Combine like terms: 8t + -1t = 7t 10 + 7t = 22 + t + -1t Combine like terms: t + -1t = 0 10 + 7t = 22 + 0 10 + 7t = 22 Add '-10' to each side of the equation. 10 + -10 + 7t = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 7t = 22 + -10 7t = 22 + -10 Combine like terms: 22 + -10 = 12 7t = 12 Divide each side by '7'. t = 1.714285714 Simplifying t = 1.714285714
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