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Simplifying -4(2t + -3) + 5t = 4t + -6 Reorder the terms: -4(-3 + 2t) + 5t = 4t + -6 (-3 * -4 + 2t * -4) + 5t = 4t + -6 (12 + -8t) + 5t = 4t + -6 Combine like terms: -8t + 5t = -3t 12 + -3t = 4t + -6 Reorder the terms: 12 + -3t = -6 + 4t Solving 12 + -3t = -6 + 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 = -6 + 4t + -4t Combine like terms: -3t + -4t = -7t 12 + -7t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 12 + -7t = -6 + 0 12 + -7t = -6 Add '-12' to each side of the equation. 12 + -12 + -7t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = -6 + -12 -7t = -6 + -12 Combine like terms: -6 + -12 = -18 -7t = -18 Divide each side by '-7'. t = 2.571428571 Simplifying t = 2.571428571
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