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Simplifying 8 + 2t + -7 = 9t + 4 + -6t Reorder the terms: 8 + -7 + 2t = 9t + 4 + -6t Combine like terms: 8 + -7 = 1 1 + 2t = 9t + 4 + -6t Reorder the terms: 1 + 2t = 4 + 9t + -6t Combine like terms: 9t + -6t = 3t 1 + 2t = 4 + 3t Solving 1 + 2t = 4 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + 2t + -3t = 4 + 3t + -3t Combine like terms: 2t + -3t = -1t 1 + -1t = 4 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -1t = 4 + 0 1 + -1t = 4 Add '-1' to each side of the equation. 1 + -1 + -1t = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 4 + -1 -1t = 4 + -1 Combine like terms: 4 + -1 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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