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Simplifying 2t + 5t + 5 = t + 11 Reorder the terms: 5 + 2t + 5t = t + 11 Combine like terms: 2t + 5t = 7t 5 + 7t = t + 11 Reorder the terms: 5 + 7t = 11 + t Solving 5 + 7t = 11 + 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. 5 + 7t + -1t = 11 + t + -1t Combine like terms: 7t + -1t = 6t 5 + 6t = 11 + t + -1t Combine like terms: t + -1t = 0 5 + 6t = 11 + 0 5 + 6t = 11 Add '-5' to each side of the equation. 5 + -5 + 6t = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 6t = 11 + -5 6t = 11 + -5 Combine like terms: 11 + -5 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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