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Simplifying 7 + 3t + -6 = 6t + 9 + -2t Reorder the terms: 7 + -6 + 3t = 6t + 9 + -2t Combine like terms: 7 + -6 = 1 1 + 3t = 6t + 9 + -2t Reorder the terms: 1 + 3t = 9 + 6t + -2t Combine like terms: 6t + -2t = 4t 1 + 3t = 9 + 4t Solving 1 + 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. 1 + 3t + -4t = 9 + 4t + -4t Combine like terms: 3t + -4t = -1t 1 + -1t = 9 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + -1t = 9 + 0 1 + -1t = 9 Add '-1' to each side of the equation. 1 + -1 + -1t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 9 + -1 -1t = 9 + -1 Combine like terms: 9 + -1 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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