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Simplifying 3t + 4 + 4t = -2t + 3 + -8 Reorder the terms: 4 + 3t + 4t = -2t + 3 + -8 Combine like terms: 3t + 4t = 7t 4 + 7t = -2t + 3 + -8 Reorder the terms: 4 + 7t = 3 + -8 + -2t Combine like terms: 3 + -8 = -5 4 + 7t = -5 + -2t Solving 4 + 7t = -5 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 4 + 7t + 2t = -5 + -2t + 2t Combine like terms: 7t + 2t = 9t 4 + 9t = -5 + -2t + 2t Combine like terms: -2t + 2t = 0 4 + 9t = -5 + 0 4 + 9t = -5 Add '-4' to each side of the equation. 4 + -4 + 9t = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 9t = -5 + -4 9t = -5 + -4 Combine like terms: -5 + -4 = -9 9t = -9 Divide each side by '9'. t = -1 Simplifying t = -1
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