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