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Simplifying 3t + 1 + -2t = 7 + -4t + -12 Reorder the terms: 1 + 3t + -2t = 7 + -4t + -12 Combine like terms: 3t + -2t = 1t 1 + 1t = 7 + -4t + -12 Reorder the terms: 1 + 1t = 7 + -12 + -4t Combine like terms: 7 + -12 = -5 1 + 1t = -5 + -4t Solving 1 + 1t = -5 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 1 + 1t + 4t = -5 + -4t + 4t Combine like terms: 1t + 4t = 5t 1 + 5t = -5 + -4t + 4t Combine like terms: -4t + 4t = 0 1 + 5t = -5 + 0 1 + 5t = -5 Add '-1' to each side of the equation. 1 + -1 + 5t = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = -5 + -1 5t = -5 + -1 Combine like terms: -5 + -1 = -6 5t = -6 Divide each side by '5'. t = -1.2 Simplifying t = -1.2
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