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Simplifying -3(3t + -3) + 2t = 5t + -2 Reorder the terms: -3(-3 + 3t) + 2t = 5t + -2 (-3 * -3 + 3t * -3) + 2t = 5t + -2 (9 + -9t) + 2t = 5t + -2 Combine like terms: -9t + 2t = -7t 9 + -7t = 5t + -2 Reorder the terms: 9 + -7t = -2 + 5t Solving 9 + -7t = -2 + 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. 9 + -7t + -5t = -2 + 5t + -5t Combine like terms: -7t + -5t = -12t 9 + -12t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 9 + -12t = -2 + 0 9 + -12t = -2 Add '-9' to each side of the equation. 9 + -9 + -12t = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -12t = -2 + -9 -12t = -2 + -9 Combine like terms: -2 + -9 = -11 -12t = -11 Divide each side by '-12'. t = 0.9166666667 Simplifying t = 0.9166666667
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