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Simplifying 5t + -12 = 3t Reorder the terms: -12 + 5t = 3t Solving -12 + 5t = 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 = 3t + -3t Combine like terms: 5t + -3t = 2t -12 + 2t = 3t + -3t Combine like terms: 3t + -3t = 0 -12 + 2t = 0 Add '12' to each side of the equation. -12 + 12 + 2t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2t = 0 + 12 2t = 0 + 12 Combine like terms: 0 + 12 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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