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Simplifying 5 + 17t + -1 = 8t + 109 + -6t Reorder the terms: 5 + -1 + 17t = 8t + 109 + -6t Combine like terms: 5 + -1 = 4 4 + 17t = 8t + 109 + -6t Reorder the terms: 4 + 17t = 109 + 8t + -6t Combine like terms: 8t + -6t = 2t 4 + 17t = 109 + 2t Solving 4 + 17t = 109 + 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. 4 + 17t + -2t = 109 + 2t + -2t Combine like terms: 17t + -2t = 15t 4 + 15t = 109 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + 15t = 109 + 0 4 + 15t = 109 Add '-4' to each side of the equation. 4 + -4 + 15t = 109 + -4 Combine like terms: 4 + -4 = 0 0 + 15t = 109 + -4 15t = 109 + -4 Combine like terms: 109 + -4 = 105 15t = 105 Divide each side by '15'. t = 7 Simplifying t = 7
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