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Simplifying -2t + 10 + 8t = 9t + -6 Reorder the terms: 10 + -2t + 8t = 9t + -6 Combine like terms: -2t + 8t = 6t 10 + 6t = 9t + -6 Reorder the terms: 10 + 6t = -6 + 9t Solving 10 + 6t = -6 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 10 + 6t + -9t = -6 + 9t + -9t Combine like terms: 6t + -9t = -3t 10 + -3t = -6 + 9t + -9t Combine like terms: 9t + -9t = 0 10 + -3t = -6 + 0 10 + -3t = -6 Add '-10' to each side of the equation. 10 + -10 + -3t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = -6 + -10 -3t = -6 + -10 Combine like terms: -6 + -10 = -16 -3t = -16 Divide each side by '-3'. t = 5.333333333 Simplifying t = 5.333333333
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