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Simplifying t + -1t + 4t + -4 + 7 = 12t Reorder the terms: -4 + 7 + t + -1t + 4t = 12t Combine like terms: -4 + 7 = 3 3 + t + -1t + 4t = 12t Combine like terms: t + -1t = 0 3 + 0 + 4t = 12t 3 + 4t = 12t Solving 3 + 4t = 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 3 + 4t + -12t = 12t + -12t Combine like terms: 4t + -12t = -8t 3 + -8t = 12t + -12t Combine like terms: 12t + -12t = 0 3 + -8t = 0 Add '-3' to each side of the equation. 3 + -3 + -8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8t = 0 + -3 -8t = 0 + -3 Combine like terms: 0 + -3 = -3 -8t = -3 Divide each side by '-8'. t = 0.375 Simplifying t = 0.375
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