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Simplifying 3 + 15t + -2 = 7t + 105 + -5t Reorder the terms: 3 + -2 + 15t = 7t + 105 + -5t Combine like terms: 3 + -2 = 1 1 + 15t = 7t + 105 + -5t Reorder the terms: 1 + 15t = 105 + 7t + -5t Combine like terms: 7t + -5t = 2t 1 + 15t = 105 + 2t Solving 1 + 15t = 105 + 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. 1 + 15t + -2t = 105 + 2t + -2t Combine like terms: 15t + -2t = 13t 1 + 13t = 105 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 13t = 105 + 0 1 + 13t = 105 Add '-1' to each side of the equation. 1 + -1 + 13t = 105 + -1 Combine like terms: 1 + -1 = 0 0 + 13t = 105 + -1 13t = 105 + -1 Combine like terms: 105 + -1 = 104 13t = 104 Divide each side by '13'. t = 8 Simplifying t = 8
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