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Simplifying 4 + 15t + -3 = 8t + 92 + -6t Reorder the terms: 4 + -3 + 15t = 8t + 92 + -6t Combine like terms: 4 + -3 = 1 1 + 15t = 8t + 92 + -6t Reorder the terms: 1 + 15t = 92 + 8t + -6t Combine like terms: 8t + -6t = 2t 1 + 15t = 92 + 2t Solving 1 + 15t = 92 + 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 = 92 + 2t + -2t Combine like terms: 15t + -2t = 13t 1 + 13t = 92 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 13t = 92 + 0 1 + 13t = 92 Add '-1' to each side of the equation. 1 + -1 + 13t = 92 + -1 Combine like terms: 1 + -1 = 0 0 + 13t = 92 + -1 13t = 92 + -1 Combine like terms: 92 + -1 = 91 13t = 91 Divide each side by '13'. t = 7 Simplifying t = 7
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