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Simplifying 5t + -4 = 3(4 + -1t) Reorder the terms: -4 + 5t = 3(4 + -1t) -4 + 5t = (4 * 3 + -1t * 3) -4 + 5t = (12 + -3t) Solving -4 + 5t = 12 + -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. -4 + 5t + 3t = 12 + -3t + 3t Combine like terms: 5t + 3t = 8t -4 + 8t = 12 + -3t + 3t Combine like terms: -3t + 3t = 0 -4 + 8t = 12 + 0 -4 + 8t = 12 Add '4' to each side of the equation. -4 + 4 + 8t = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8t = 12 + 4 8t = 12 + 4 Combine like terms: 12 + 4 = 16 8t = 16 Divide each side by '8'. t = 2 Simplifying t = 2
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