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Simplifying (6 + -3t) = (4t + 12) Remove parenthesis around (6 + -3t) 6 + -3t = (4t + 12) Reorder the terms: 6 + -3t = (12 + 4t) Remove parenthesis around (12 + 4t) 6 + -3t = 12 + 4t Solving 6 + -3t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 6 + -3t + -4t = 12 + 4t + -4t Combine like terms: -3t + -4t = -7t 6 + -7t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + -7t = 12 + 0 6 + -7t = 12 Add '-6' to each side of the equation. 6 + -6 + -7t = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = 12 + -6 -7t = 12 + -6 Combine like terms: 12 + -6 = 6 -7t = 6 Divide each side by '-7'. t = -0.8571428571 Simplifying t = -0.8571428571
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