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Simplifying -5t + 6 = -2 + 8t Reorder the terms: 6 + -5t = -2 + 8t Solving 6 + -5t = -2 + 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. 6 + -5t + -8t = -2 + 8t + -8t Combine like terms: -5t + -8t = -13t 6 + -13t = -2 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -13t = -2 + 0 6 + -13t = -2 Add '-6' to each side of the equation. 6 + -6 + -13t = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -13t = -2 + -6 -13t = -2 + -6 Combine like terms: -2 + -6 = -8 -13t = -8 Divide each side by '-13'. t = 0.6153846154 Simplifying t = 0.6153846154
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