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Simplifying 36t + 2t + -15t + -15t + -6t + -2 = 34 Reorder the terms: -2 + 36t + 2t + -15t + -15t + -6t = 34 Combine like terms: 36t + 2t = 38t -2 + 38t + -15t + -15t + -6t = 34 Combine like terms: 38t + -15t = 23t -2 + 23t + -15t + -6t = 34 Combine like terms: 23t + -15t = 8t -2 + 8t + -6t = 34 Combine like terms: 8t + -6t = 2t -2 + 2t = 34 Solving -2 + 2t = 34 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2t = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 34 + 2 2t = 34 + 2 Combine like terms: 34 + 2 = 36 2t = 36 Divide each side by '2'. t = 18 Simplifying t = 18
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