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Simplifying 2(9t + 1) = t + 9 + t + -7 Reorder the terms: 2(1 + 9t) = t + 9 + t + -7 (1 * 2 + 9t * 2) = t + 9 + t + -7 (2 + 18t) = t + 9 + t + -7 Reorder the terms: 2 + 18t = 9 + -7 + t + t Combine like terms: 9 + -7 = 2 2 + 18t = 2 + t + t Combine like terms: t + t = 2t 2 + 18t = 2 + 2t Add '-2' to each side of the equation. 2 + -2 + 18t = 2 + -2 + 2t Combine like terms: 2 + -2 = 0 0 + 18t = 2 + -2 + 2t 18t = 2 + -2 + 2t Combine like terms: 2 + -2 = 0 18t = 0 + 2t 18t = 2t Solving 18t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 18t + -2t = 2t + -2t Combine like terms: 18t + -2t = 16t 16t = 2t + -2t Combine like terms: 2t + -2t = 0 16t = 0 Divide each side by '16'. t = 0 Simplifying t = 0
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