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Simplifying -3t + -8 + 7t = 34 + 9t + -12 Reorder the terms: -8 + -3t + 7t = 34 + 9t + -12 Combine like terms: -3t + 7t = 4t -8 + 4t = 34 + 9t + -12 Reorder the terms: -8 + 4t = 34 + -12 + 9t Combine like terms: 34 + -12 = 22 -8 + 4t = 22 + 9t Solving -8 + 4t = 22 + 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 = 22 + 9t + -9t Combine like terms: 4t + -9t = -5t -8 + -5t = 22 + 9t + -9t Combine like terms: 9t + -9t = 0 -8 + -5t = 22 + 0 -8 + -5t = 22 Add '8' to each side of the equation. -8 + 8 + -5t = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -5t = 22 + 8 -5t = 22 + 8 Combine like terms: 22 + 8 = 30 -5t = 30 Divide each side by '-5'. t = -6 Simplifying t = -6
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