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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 = 6t -10 + 6t = 6t + 10 + 9t Reorder the terms: -10 + 6t = 10 + 6t + 9t Combine like terms: 6t + 9t = 15t -10 + 6t = 10 + 15t Solving -10 + 6t = 10 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -10 + 6t + -15t = 10 + 15t + -15t Combine like terms: 6t + -15t = -9t -10 + -9t = 10 + 15t + -15t Combine like terms: 15t + -15t = 0 -10 + -9t = 10 + 0 -10 + -9t = 10 Add '10' to each side of the equation. -10 + 10 + -9t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -9t = 10 + 10 -9t = 10 + 10 Combine like terms: 10 + 10 = 20 -9t = 20 Divide each side by '-9'. t = -2.222222222 Simplifying t = -2.222222222
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