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