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Simplifying 6 + 4t + -2 = 7t + 12 + -2t Reorder the terms: 6 + -2 + 4t = 7t + 12 + -2t Combine like terms: 6 + -2 = 4 4 + 4t = 7t + 12 + -2t Reorder the terms: 4 + 4t = 12 + 7t + -2t Combine like terms: 7t + -2t = 5t 4 + 4t = 12 + 5t Solving 4 + 4t = 12 + 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. 4 + 4t + -5t = 12 + 5t + -5t Combine like terms: 4t + -5t = -1t 4 + -1t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -1t = 12 + 0 4 + -1t = 12 Add '-4' to each side of the equation. 4 + -4 + -1t = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 12 + -4 -1t = 12 + -4 Combine like terms: 12 + -4 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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