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Simplifying 12t + 5t = 6(t + 2) Combine like terms: 12t + 5t = 17t 17t = 6(t + 2) Reorder the terms: 17t = 6(2 + t) 17t = (2 * 6 + t * 6) 17t = (12 + 6t) Solving 17t = 12 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 17t + -6t = 12 + 6t + -6t Combine like terms: 17t + -6t = 11t 11t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 11t = 12 + 0 11t = 12 Divide each side by '11'. t = 1.090909091 Simplifying t = 1.090909091
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