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Simplifying -3 + -8 + 7t = 34 + 9t + -2 Combine like terms: -3 + -8 = -11 -11 + 7t = 34 + 9t + -2 Reorder the terms: -11 + 7t = 34 + -2 + 9t Combine like terms: 34 + -2 = 32 -11 + 7t = 32 + 9t Solving -11 + 7t = 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. -11 + 7t + -9t = 32 + 9t + -9t Combine like terms: 7t + -9t = -2t -11 + -2t = 32 + 9t + -9t Combine like terms: 9t + -9t = 0 -11 + -2t = 32 + 0 -11 + -2t = 32 Add '11' to each side of the equation. -11 + 11 + -2t = 32 + 11 Combine like terms: -11 + 11 = 0 0 + -2t = 32 + 11 -2t = 32 + 11 Combine like terms: 32 + 11 = 43 -2t = 43 Divide each side by '-2'. t = -21.5 Simplifying t = -21.5
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