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Simplifying 8t + -10 + -2t = -6 + 10 + 9t Reorder the terms: -10 + 8t + -2t = -6 + 10 + 9t Combine like terms: 8t + -2t = 6t -10 + 6t = -6 + 10 + 9t Combine like terms: -6 + 10 = 4 -10 + 6t = 4 + 9t Solving -10 + 6t = 4 + 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 = 4 + 9t + -9t Combine like terms: 6t + -9t = -3t -10 + -3t = 4 + 9t + -9t Combine like terms: 9t + -9t = 0 -10 + -3t = 4 + 0 -10 + -3t = 4 Add '10' to each side of the equation. -10 + 10 + -3t = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -3t = 4 + 10 -3t = 4 + 10 Combine like terms: 4 + 10 = 14 -3t = 14 Divide each side by '-3'. t = -4.666666667 Simplifying t = -4.666666667
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