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Simplifying -4(t + -2) + 9t = 3t + -6 Reorder the terms: -4(-2 + t) + 9t = 3t + -6 (-2 * -4 + t * -4) + 9t = 3t + -6 (8 + -4t) + 9t = 3t + -6 Combine like terms: -4t + 9t = 5t 8 + 5t = 3t + -6 Reorder the terms: 8 + 5t = -6 + 3t Solving 8 + 5t = -6 + 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. 8 + 5t + -3t = -6 + 3t + -3t Combine like terms: 5t + -3t = 2t 8 + 2t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + 2t = -6 + 0 8 + 2t = -6 Add '-8' to each side of the equation. 8 + -8 + 2t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2t = -6 + -8 2t = -6 + -8 Combine like terms: -6 + -8 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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