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Simplifying 5t + 12 = 4 + -3t Reorder the terms: 12 + 5t = 4 + -3t Solving 12 + 5t = 4 + -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. 12 + 5t + 3t = 4 + -3t + 3t Combine like terms: 5t + 3t = 8t 12 + 8t = 4 + -3t + 3t Combine like terms: -3t + 3t = 0 12 + 8t = 4 + 0 12 + 8t = 4 Add '-12' to each side of the equation. 12 + -12 + 8t = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 8t = 4 + -12 8t = 4 + -12 Combine like terms: 4 + -12 = -8 8t = -8 Divide each side by '8'. t = -1 Simplifying t = -1
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