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Simplifying 5t + 8 = 4t + 12 Reorder the terms: 8 + 5t = 4t + 12 Reorder the terms: 8 + 5t = 12 + 4t Solving 8 + 5t = 12 + 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. 8 + 5t + -4t = 12 + 4t + -4t Combine like terms: 5t + -4t = 1t 8 + 1t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + 1t = 12 + 0 8 + 1t = 12 Add '-8' to each side of the equation. 8 + -8 + 1t = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1t = 12 + -8 1t = 12 + -8 Combine like terms: 12 + -8 = 4 1t = 4 Divide each side by '1'. t = 4 Simplifying t = 4
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