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Simplifying 6 + 2t + -1 = 5t + 12 + -2t Reorder the terms: 6 + -1 + 2t = 5t + 12 + -2t Combine like terms: 6 + -1 = 5 5 + 2t = 5t + 12 + -2t Reorder the terms: 5 + 2t = 12 + 5t + -2t Combine like terms: 5t + -2t = 3t 5 + 2t = 12 + 3t Solving 5 + 2t = 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. 5 + 2t + -3t = 12 + 3t + -3t Combine like terms: 2t + -3t = -1t 5 + -1t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + -1t = 12 + 0 5 + -1t = 12 Add '-5' to each side of the equation. 5 + -5 + -1t = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 12 + -5 -1t = 12 + -5 Combine like terms: 12 + -5 = 7 -1t = 7 Divide each side by '-1'. t = -7 Simplifying t = -7
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