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Simplifying 6 + 5t + -2 = 8t + 13 + -2t Reorder the terms: 6 + -2 + 5t = 8t + 13 + -2t Combine like terms: 6 + -2 = 4 4 + 5t = 8t + 13 + -2t Reorder the terms: 4 + 5t = 13 + 8t + -2t Combine like terms: 8t + -2t = 6t 4 + 5t = 13 + 6t Solving 4 + 5t = 13 + 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. 4 + 5t + -6t = 13 + 6t + -6t Combine like terms: 5t + -6t = -1t 4 + -1t = 13 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -1t = 13 + 0 4 + -1t = 13 Add '-4' to each side of the equation. 4 + -4 + -1t = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 13 + -4 -1t = 13 + -4 Combine like terms: 13 + -4 = 9 -1t = 9 Divide each side by '-1'. t = -9 Simplifying t = -9
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