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Simplifying 5 + 13t + -4 = 8t + 8 + -2t Reorder the terms: 5 + -4 + 13t = 8t + 8 + -2t Combine like terms: 5 + -4 = 1 1 + 13t = 8t + 8 + -2t Reorder the terms: 1 + 13t = 8 + 8t + -2t Combine like terms: 8t + -2t = 6t 1 + 13t = 8 + 6t Solving 1 + 13t = 8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 1 + 13t + -6t = 8 + 6t + -6t Combine like terms: 13t + -6t = 7t 1 + 7t = 8 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + 7t = 8 + 0 1 + 7t = 8 Add '-1' to each side of the equation. 1 + -1 + 7t = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7t = 8 + -1 7t = 8 + -1 Combine like terms: 8 + -1 = 7 7t = 7 Divide each side by '7'. t = 1 Simplifying t = 1
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