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Simplifying 8 + 11t + -2 = 8t + 15 + -6t Reorder the terms: 8 + -2 + 11t = 8t + 15 + -6t Combine like terms: 8 + -2 = 6 6 + 11t = 8t + 15 + -6t Reorder the terms: 6 + 11t = 15 + 8t + -6t Combine like terms: 8t + -6t = 2t 6 + 11t = 15 + 2t Solving 6 + 11t = 15 + 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. 6 + 11t + -2t = 15 + 2t + -2t Combine like terms: 11t + -2t = 9t 6 + 9t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + 9t = 15 + 0 6 + 9t = 15 Add '-6' to each side of the equation. 6 + -6 + 9t = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 9t = 15 + -6 9t = 15 + -6 Combine like terms: 15 + -6 = 9 9t = 9 Divide each side by '9'. t = 1 Simplifying t = 1
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