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Simplifying -3t + -8 + 7t = 34 + 9 + -2 Reorder the terms: -8 + -3t + 7t = 34 + 9 + -2 Combine like terms: -3t + 7t = 4t -8 + 4t = 34 + 9 + -2 Combine like terms: 34 + 9 = 43 -8 + 4t = 43 + -2 Combine like terms: 43 + -2 = 41 -8 + 4t = 41 Solving -8 + 4t = 41 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4t = 41 + 8 Combine like terms: -8 + 8 = 0 0 + 4t = 41 + 8 4t = 41 + 8 Combine like terms: 41 + 8 = 49 4t = 49 Divide each side by '4'. t = 12.25 Simplifying t = 12.25
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