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Simplifying 5 + 2t + -2 = 9t + 7 + -3t Reorder the terms: 5 + -2 + 2t = 9t + 7 + -3t Combine like terms: 5 + -2 = 3 3 + 2t = 9t + 7 + -3t Reorder the terms: 3 + 2t = 7 + 9t + -3t Combine like terms: 9t + -3t = 6t 3 + 2t = 7 + 6t Solving 3 + 2t = 7 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 3 + 2t + -6t = 7 + 6t + -6t Combine like terms: 2t + -6t = -4t 3 + -4t = 7 + 6t + -6t Combine like terms: 6t + -6t = 0 3 + -4t = 7 + 0 3 + -4t = 7 Add '-3' to each side of the equation. 3 + -3 + -4t = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = 7 + -3 -4t = 7 + -3 Combine like terms: 7 + -3 = 4 -4t = 4 Divide each side by '-4'. t = -1 Simplifying t = -1
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