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Simplifying 5 + 2t + -1 = 8t + 6 + -1 Reorder the terms: 5 + -1 + 2t = 8t + 6 + -1 Combine like terms: 5 + -1 = 4 4 + 2t = 8t + 6 + -1 Reorder the terms: 4 + 2t = 6 + -1 + 8t Combine like terms: 6 + -1 = 5 4 + 2t = 5 + 8t Solving 4 + 2t = 5 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 4 + 2t + -8t = 5 + 8t + -8t Combine like terms: 2t + -8t = -6t 4 + -6t = 5 + 8t + -8t Combine like terms: 8t + -8t = 0 4 + -6t = 5 + 0 4 + -6t = 5 Add '-4' to each side of the equation. 4 + -4 + -6t = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -6t = 5 + -4 -6t = 5 + -4 Combine like terms: 5 + -4 = 1 -6t = 1 Divide each side by '-6'. t = -0.1666666667 Simplifying t = -0.1666666667
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