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Simplifying -3x + -8 + 7t = 34 + 9t + -2 Reorder the terms: -8 + 7t + -3x = 34 + 9t + -2 Reorder the terms: -8 + 7t + -3x = 34 + -2 + 9t Combine like terms: 34 + -2 = 32 -8 + 7t + -3x = 32 + 9t Solving -8 + 7t + -3x = 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 + 7t + -9t + -3x = 32 + 9t + -9t Combine like terms: 7t + -9t = -2t -8 + -2t + -3x = 32 + 9t + -9t Combine like terms: 9t + -9t = 0 -8 + -2t + -3x = 32 + 0 -8 + -2t + -3x = 32 Add '8' to each side of the equation. -8 + -2t + 8 + -3x = 32 + 8 Reorder the terms: -8 + 8 + -2t + -3x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -2t + -3x = 32 + 8 -2t + -3x = 32 + 8 Combine like terms: 32 + 8 = 40 -2t + -3x = 40 Add '3x' to each side of the equation. -2t + -3x + 3x = 40 + 3x Combine like terms: -3x + 3x = 0 -2t + 0 = 40 + 3x -2t = 40 + 3x Divide each side by '-2'. t = -20 + -1.5x Simplifying t = -20 + -1.5x
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