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