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Simplifying 8t + 7 = -4t + 1 Reorder the terms: 7 + 8t = -4t + 1 Reorder the terms: 7 + 8t = 1 + -4t Solving 7 + 8t = 1 + -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. 7 + 8t + 4t = 1 + -4t + 4t Combine like terms: 8t + 4t = 12t 7 + 12t = 1 + -4t + 4t Combine like terms: -4t + 4t = 0 7 + 12t = 1 + 0 7 + 12t = 1 Add '-7' to each side of the equation. 7 + -7 + 12t = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 12t = 1 + -7 12t = 1 + -7 Combine like terms: 1 + -7 = -6 12t = -6 Divide each side by '12'. t = -0.5 Simplifying t = -0.5
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