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Simplifying -5(2t + -4) + 6t = 3t + -5 Reorder the terms: -5(-4 + 2t) + 6t = 3t + -5 (-4 * -5 + 2t * -5) + 6t = 3t + -5 (20 + -10t) + 6t = 3t + -5 Combine like terms: -10t + 6t = -4t 20 + -4t = 3t + -5 Reorder the terms: 20 + -4t = -5 + 3t Solving 20 + -4t = -5 + 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. 20 + -4t + -3t = -5 + 3t + -3t Combine like terms: -4t + -3t = -7t 20 + -7t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + -7t = -5 + 0 20 + -7t = -5 Add '-20' to each side of the equation. 20 + -20 + -7t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -7t = -5 + -20 -7t = -5 + -20 Combine like terms: -5 + -20 = -25 -7t = -25 Divide each side by '-7'. t = 3.571428571 Simplifying t = 3.571428571
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