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Simplifying 3t + -8 + 7 = 34 + 9t + -2 Reorder the terms: -8 + 7 + 3t = 34 + 9t + -2 Combine like terms: -8 + 7 = -1 -1 + 3t = 34 + 9t + -2 Reorder the terms: -1 + 3t = 34 + -2 + 9t Combine like terms: 34 + -2 = 32 -1 + 3t = 32 + 9t Solving -1 + 3t = 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. -1 + 3t + -9t = 32 + 9t + -9t Combine like terms: 3t + -9t = -6t -1 + -6t = 32 + 9t + -9t Combine like terms: 9t + -9t = 0 -1 + -6t = 32 + 0 -1 + -6t = 32 Add '1' to each side of the equation. -1 + 1 + -6t = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -6t = 32 + 1 -6t = 32 + 1 Combine like terms: 32 + 1 = 33 -6t = 33 Divide each side by '-6'. t = -5.5 Simplifying t = -5.5
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