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Simplifying 7 + -3t + 4 = 5t + -1 + 4t Reorder the terms: 7 + 4 + -3t = 5t + -1 + 4t Combine like terms: 7 + 4 = 11 11 + -3t = 5t + -1 + 4t Reorder the terms: 11 + -3t = -1 + 5t + 4t Combine like terms: 5t + 4t = 9t 11 + -3t = -1 + 9t Solving 11 + -3t = -1 + 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 + -3t + -9t = -1 + 9t + -9t Combine like terms: -3t + -9t = -12t 11 + -12t = -1 + 9t + -9t Combine like terms: 9t + -9t = 0 11 + -12t = -1 + 0 11 + -12t = -1 Add '-11' to each side of the equation. 11 + -11 + -12t = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -12t = -1 + -11 -12t = -1 + -11 Combine like terms: -1 + -11 = -12 -12t = -12 Divide each side by '-12'. t = 1 Simplifying t = 1
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