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Simplifying 2t + 12 = 3t + 5 Reorder the terms: 12 + 2t = 3t + 5 Reorder the terms: 12 + 2t = 5 + 3t Solving 12 + 2t = 5 + 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 + 2t + -3t = 5 + 3t + -3t Combine like terms: 2t + -3t = -1t 12 + -1t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -1t = 5 + 0 12 + -1t = 5 Add '-12' to each side of the equation. 12 + -12 + -1t = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1t = 5 + -12 -1t = 5 + -12 Combine like terms: 5 + -12 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7
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