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Simplifying -3(4t + -2) + 9t = 2t + -6 Reorder the terms: -3(-2 + 4t) + 9t = 2t + -6 (-2 * -3 + 4t * -3) + 9t = 2t + -6 (6 + -12t) + 9t = 2t + -6 Combine like terms: -12t + 9t = -3t 6 + -3t = 2t + -6 Reorder the terms: 6 + -3t = -6 + 2t Solving 6 + -3t = -6 + 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. 6 + -3t + -2t = -6 + 2t + -2t Combine like terms: -3t + -2t = -5t 6 + -5t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + -5t = -6 + 0 6 + -5t = -6 Add '-6' to each side of the equation. 6 + -6 + -5t = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = -6 + -6 -5t = -6 + -6 Combine like terms: -6 + -6 = -12 -5t = -12 Divide each side by '-5'. t = 2.4 Simplifying t = 2.4
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