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Simplifying -3t + -7 + 7t = 34 + 9t + -2 Reorder the terms: -7 + -3t + 7t = 34 + 9t + -2 Combine like terms: -3t + 7t = 4t -7 + 4t = 34 + 9t + -2 Reorder the terms: -7 + 4t = 34 + -2 + 9t Combine like terms: 34 + -2 = 32 -7 + 4t = 32 + 9t Solving -7 + 4t = 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. -7 + 4t + -9t = 32 + 9t + -9t Combine like terms: 4t + -9t = -5t -7 + -5t = 32 + 9t + -9t Combine like terms: 9t + -9t = 0 -7 + -5t = 32 + 0 -7 + -5t = 32 Add '7' to each side of the equation. -7 + 7 + -5t = 32 + 7 Combine like terms: -7 + 7 = 0 0 + -5t = 32 + 7 -5t = 32 + 7 Combine like terms: 32 + 7 = 39 -5t = 39 Divide each side by '-5'. t = -7.8 Simplifying t = -7.8
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