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Simplifying 5 + 2t + -4 = 9t + 2 + -6t Reorder the terms: 5 + -4 + 2t = 9t + 2 + -6t Combine like terms: 5 + -4 = 1 1 + 2t = 9t + 2 + -6t Reorder the terms: 1 + 2t = 2 + 9t + -6t Combine like terms: 9t + -6t = 3t 1 + 2t = 2 + 3t Solving 1 + 2t = 2 + 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 = 2 + 3t + -3t Combine like terms: 2t + -3t = -1t 1 + -1t = 2 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -1t = 2 + 0 1 + -1t = 2 Add '-1' to each side of the equation. 1 + -1 + -1t = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 2 + -1 -1t = 2 + -1 Combine like terms: 2 + -1 = 1 -1t = 1 Divide each side by '-1'. t = -1 Simplifying t = -1
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