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Simplifying 31 + -4t = 7 + -7t Solving 31 + -4t = 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. 31 + -4t + 7t = 7 + -7t + 7t Combine like terms: -4t + 7t = 3t 31 + 3t = 7 + -7t + 7t Combine like terms: -7t + 7t = 0 31 + 3t = 7 + 0 31 + 3t = 7 Add '-31' to each side of the equation. 31 + -31 + 3t = 7 + -31 Combine like terms: 31 + -31 = 0 0 + 3t = 7 + -31 3t = 7 + -31 Combine like terms: 7 + -31 = -24 3t = -24 Divide each side by '3'. t = -8 Simplifying t = -8
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