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Simplifying -3(4t + -3) + 9t = 3t + -8 Reorder the terms: -3(-3 + 4t) + 9t = 3t + -8 (-3 * -3 + 4t * -3) + 9t = 3t + -8 (9 + -12t) + 9t = 3t + -8 Combine like terms: -12t + 9t = -3t 9 + -3t = 3t + -8 Reorder the terms: 9 + -3t = -8 + 3t Solving 9 + -3t = -8 + 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. 9 + -3t + -3t = -8 + 3t + -3t Combine like terms: -3t + -3t = -6t 9 + -6t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 9 + -6t = -8 + 0 9 + -6t = -8 Add '-9' to each side of the equation. 9 + -9 + -6t = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -6t = -8 + -9 -6t = -8 + -9 Combine like terms: -8 + -9 = -17 -6t = -17 Divide each side by '-6'. t = 2.833333333 Simplifying t = 2.833333333
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