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Simplifying -3(4t + -2) + 8t = 3t + -9 Reorder the terms: -3(-2 + 4t) + 8t = 3t + -9 (-2 * -3 + 4t * -3) + 8t = 3t + -9 (6 + -12t) + 8t = 3t + -9 Combine like terms: -12t + 8t = -4t 6 + -4t = 3t + -9 Reorder the terms: 6 + -4t = -9 + 3t Solving 6 + -4t = -9 + 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. 6 + -4t + -3t = -9 + 3t + -3t Combine like terms: -4t + -3t = -7t 6 + -7t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + -7t = -9 + 0 6 + -7t = -9 Add '-6' to each side of the equation. 6 + -6 + -7t = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = -9 + -6 -7t = -9 + -6 Combine like terms: -9 + -6 = -15 -7t = -15 Divide each side by '-7'. t = 2.142857143 Simplifying t = 2.142857143
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