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Simplifying 8 + 6t + -7 = 9t + 13 + -7t Reorder the terms: 8 + -7 + 6t = 9t + 13 + -7t Combine like terms: 8 + -7 = 1 1 + 6t = 9t + 13 + -7t Reorder the terms: 1 + 6t = 13 + 9t + -7t Combine like terms: 9t + -7t = 2t 1 + 6t = 13 + 2t Solving 1 + 6t = 13 + 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 + 6t + -2t = 13 + 2t + -2t Combine like terms: 6t + -2t = 4t 1 + 4t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 4t = 13 + 0 1 + 4t = 13 Add '-1' to each side of the equation. 1 + -1 + 4t = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 13 + -1 4t = 13 + -1 Combine like terms: 13 + -1 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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