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Simplifying 8t + 11t + -2 = 8t + 15 + -6t Reorder the terms: -2 + 8t + 11t = 8t + 15 + -6t Combine like terms: 8t + 11t = 19t -2 + 19t = 8t + 15 + -6t Reorder the terms: -2 + 19t = 15 + 8t + -6t Combine like terms: 8t + -6t = 2t -2 + 19t = 15 + 2t Solving -2 + 19t = 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. -2 + 19t + -2t = 15 + 2t + -2t Combine like terms: 19t + -2t = 17t -2 + 17t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 -2 + 17t = 15 + 0 -2 + 17t = 15 Add '2' to each side of the equation. -2 + 2 + 17t = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 17t = 15 + 2 17t = 15 + 2 Combine like terms: 15 + 2 = 17 17t = 17 Divide each side by '17'. t = 1 Simplifying t = 1
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