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Simplifying 7 + 3t + -6 = 9t + 11 + -4t Reorder the terms: 7 + -6 + 3t = 9t + 11 + -4t Combine like terms: 7 + -6 = 1 1 + 3t = 9t + 11 + -4t Reorder the terms: 1 + 3t = 11 + 9t + -4t Combine like terms: 9t + -4t = 5t 1 + 3t = 11 + 5t Solving 1 + 3t = 11 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 3t + -5t = 11 + 5t + -5t Combine like terms: 3t + -5t = -2t 1 + -2t = 11 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -2t = 11 + 0 1 + -2t = 11 Add '-1' to each side of the equation. 1 + -1 + -2t = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 11 + -1 -2t = 11 + -1 Combine like terms: 11 + -1 = 10 -2t = 10 Divide each side by '-2'. t = -5 Simplifying t = -5
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