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Simplifying 8t + -10 + -2t = -6t + 20 + 9t Reorder the terms: -10 + 8t + -2t = -6t + 20 + 9t Combine like terms: 8t + -2t = 6t -10 + 6t = -6t + 20 + 9t Reorder the terms: -10 + 6t = 20 + -6t + 9t Combine like terms: -6t + 9t = 3t -10 + 6t = 20 + 3t Solving -10 + 6t = 20 + 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 + 6t + -3t = 20 + 3t + -3t Combine like terms: 6t + -3t = 3t -10 + 3t = 20 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + 3t = 20 + 0 -10 + 3t = 20 Add '10' to each side of the equation. -10 + 10 + 3t = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 3t = 20 + 10 3t = 20 + 10 Combine like terms: 20 + 10 = 30 3t = 30 Divide each side by '3'. t = 10 Simplifying t = 10
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