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Simplifying 9 + 3t + -6 = 9t + 9 + -5t Reorder the terms: 9 + -6 + 3t = 9t + 9 + -5t Combine like terms: 9 + -6 = 3 3 + 3t = 9t + 9 + -5t Reorder the terms: 3 + 3t = 9 + 9t + -5t Combine like terms: 9t + -5t = 4t 3 + 3t = 9 + 4t Solving 3 + 3t = 9 + 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. 3 + 3t + -4t = 9 + 4t + -4t Combine like terms: 3t + -4t = -1t 3 + -1t = 9 + 4t + -4t Combine like terms: 4t + -4t = 0 3 + -1t = 9 + 0 3 + -1t = 9 Add '-3' to each side of the equation. 3 + -3 + -1t = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 9 + -3 -1t = 9 + -3 Combine like terms: 9 + -3 = 6 -1t = 6 Divide each side by '-1'. t = -6 Simplifying t = -6
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