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Simplifying -8t + 6t + 6t + 7 = 2t + -5t + 3 Reorder the terms: 7 + -8t + 6t + 6t = 2t + -5t + 3 Combine like terms: -8t + 6t = -2t 7 + -2t + 6t = 2t + -5t + 3 Combine like terms: -2t + 6t = 4t 7 + 4t = 2t + -5t + 3 Reorder the terms: 7 + 4t = 3 + 2t + -5t Combine like terms: 2t + -5t = -3t 7 + 4t = 3 + -3t Solving 7 + 4t = 3 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 7 + 4t + 3t = 3 + -3t + 3t Combine like terms: 4t + 3t = 7t 7 + 7t = 3 + -3t + 3t Combine like terms: -3t + 3t = 0 7 + 7t = 3 + 0 7 + 7t = 3 Add '-7' to each side of the equation. 7 + -7 + 7t = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 7t = 3 + -7 7t = 3 + -7 Combine like terms: 3 + -7 = -4 7t = -4 Divide each side by '7'. t = -0.5714285714 Simplifying t = -0.5714285714
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