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Simplifying 8t + -3 = 5t + 12 Reorder the terms: -3 + 8t = 5t + 12 Reorder the terms: -3 + 8t = 12 + 5t Solving -3 + 8t = 12 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -3 + 8t + -5t = 12 + 5t + -5t Combine like terms: 8t + -5t = 3t -3 + 3t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 -3 + 3t = 12 + 0 -3 + 3t = 12 Add '3' to each side of the equation. -3 + 3 + 3t = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3t = 12 + 3 3t = 12 + 3 Combine like terms: 12 + 3 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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