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Simplifying 8 + 10t + -3 = 7t + 29 + -3t Reorder the terms: 8 + -3 + 10t = 7t + 29 + -3t Combine like terms: 8 + -3 = 5 5 + 10t = 7t + 29 + -3t Reorder the terms: 5 + 10t = 29 + 7t + -3t Combine like terms: 7t + -3t = 4t 5 + 10t = 29 + 4t Solving 5 + 10t = 29 + 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. 5 + 10t + -4t = 29 + 4t + -4t Combine like terms: 10t + -4t = 6t 5 + 6t = 29 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + 6t = 29 + 0 5 + 6t = 29 Add '-5' to each side of the equation. 5 + -5 + 6t = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 6t = 29 + -5 6t = 29 + -5 Combine like terms: 29 + -5 = 24 6t = 24 Divide each side by '6'. t = 4 Simplifying t = 4
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