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Simplifying -8t + -10 + -2t = -6t + 10 + 9t Reorder the terms: -10 + -8t + -2t = -6t + 10 + 9t Combine like terms: -8t + -2t = -10t -10 + -10t = -6t + 10 + 9t Reorder the terms: -10 + -10t = 10 + -6t + 9t Combine like terms: -6t + 9t = 3t -10 + -10t = 10 + 3t Solving -10 + -10t = 10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -10 + -10t + -3t = 10 + 3t + -3t Combine like terms: -10t + -3t = -13t -10 + -13t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + -13t = 10 + 0 -10 + -13t = 10 Add '10' to each side of the equation. -10 + 10 + -13t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -13t = 10 + 10 -13t = 10 + 10 Combine like terms: 10 + 10 = 20 -13t = 20 Divide each side by '-13'. t = -1.538461538 Simplifying t = -1.538461538
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