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Simplifying 2t + 8t + -1 = 6t + -5 Reorder the terms: -1 + 2t + 8t = 6t + -5 Combine like terms: 2t + 8t = 10t -1 + 10t = 6t + -5 Reorder the terms: -1 + 10t = -5 + 6t Solving -1 + 10t = -5 + 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 + 10t + -6t = -5 + 6t + -6t Combine like terms: 10t + -6t = 4t -1 + 4t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 -1 + 4t = -5 + 0 -1 + 4t = -5 Add '1' to each side of the equation. -1 + 1 + 4t = -5 + 1 Combine like terms: -1 + 1 = 0 0 + 4t = -5 + 1 4t = -5 + 1 Combine like terms: -5 + 1 = -4 4t = -4 Divide each side by '4'. t = -1 Simplifying t = -1
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