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Simplifying -3(t + -2) + 9t = 4t + -4 Reorder the terms: -3(-2 + t) + 9t = 4t + -4 (-2 * -3 + t * -3) + 9t = 4t + -4 (6 + -3t) + 9t = 4t + -4 Combine like terms: -3t + 9t = 6t 6 + 6t = 4t + -4 Reorder the terms: 6 + 6t = -4 + 4t Solving 6 + 6t = -4 + 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 + 6t + -4t = -4 + 4t + -4t Combine like terms: 6t + -4t = 2t 6 + 2t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + 2t = -4 + 0 6 + 2t = -4 Add '-6' to each side of the equation. 6 + -6 + 2t = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = -4 + -6 2t = -4 + -6 Combine like terms: -4 + -6 = -10 2t = -10 Divide each side by '2'. t = -5 Simplifying t = -5
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