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Simplifying -3(4t + -4) + 9t = 4t + -8 Reorder the terms: -3(-4 + 4t) + 9t = 4t + -8 (-4 * -3 + 4t * -3) + 9t = 4t + -8 (12 + -12t) + 9t = 4t + -8 Combine like terms: -12t + 9t = -3t 12 + -3t = 4t + -8 Reorder the terms: 12 + -3t = -8 + 4t Solving 12 + -3t = -8 + 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. 12 + -3t + -4t = -8 + 4t + -4t Combine like terms: -3t + -4t = -7t 12 + -7t = -8 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -7t = -8 + 0 12 + -7t = -8 Add '-12' to each side of the equation. 12 + -12 + -7t = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = -8 + -12 -7t = -8 + -12 Combine like terms: -8 + -12 = -20 -7t = -20 Divide each side by '-7'. t = 2.857142857 Simplifying t = 2.857142857
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