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Simplifying 4t + -8 = 34 + -9t + -2 Reorder the terms: -8 + 4t = 34 + -9t + -2 Reorder the terms: -8 + 4t = 34 + -2 + -9t Combine like terms: 34 + -2 = 32 -8 + 4t = 32 + -9t Solving -8 + 4t = 32 + -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. -8 + 4t + 9t = 32 + -9t + 9t Combine like terms: 4t + 9t = 13t -8 + 13t = 32 + -9t + 9t Combine like terms: -9t + 9t = 0 -8 + 13t = 32 + 0 -8 + 13t = 32 Add '8' to each side of the equation. -8 + 8 + 13t = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 13t = 32 + 8 13t = 32 + 8 Combine like terms: 32 + 8 = 40 13t = 40 Divide each side by '13'. t = 3.076923077 Simplifying t = 3.076923077
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