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