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Simplifying -3(4t + -3) + 7t = 2t + -2 Reorder the terms: -3(-3 + 4t) + 7t = 2t + -2 (-3 * -3 + 4t * -3) + 7t = 2t + -2 (9 + -12t) + 7t = 2t + -2 Combine like terms: -12t + 7t = -5t 9 + -5t = 2t + -2 Reorder the terms: 9 + -5t = -2 + 2t Solving 9 + -5t = -2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 9 + -5t + -2t = -2 + 2t + -2t Combine like terms: -5t + -2t = -7t 9 + -7t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 9 + -7t = -2 + 0 9 + -7t = -2 Add '-9' to each side of the equation. 9 + -9 + -7t = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -7t = -2 + -9 -7t = -2 + -9 Combine like terms: -2 + -9 = -11 -7t = -11 Divide each side by '-7'. t = 1.571428571 Simplifying t = 1.571428571
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