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Simplifying -2(4t + -2) + 6t = 5t + -2 Reorder the terms: -2(-2 + 4t) + 6t = 5t + -2 (-2 * -2 + 4t * -2) + 6t = 5t + -2 (4 + -8t) + 6t = 5t + -2 Combine like terms: -8t + 6t = -2t 4 + -2t = 5t + -2 Reorder the terms: 4 + -2t = -2 + 5t Solving 4 + -2t = -2 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 4 + -2t + -5t = -2 + 5t + -5t Combine like terms: -2t + -5t = -7t 4 + -7t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -7t = -2 + 0 4 + -7t = -2 Add '-4' to each side of the equation. 4 + -4 + -7t = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -7t = -2 + -4 -7t = -2 + -4 Combine like terms: -2 + -4 = -6 -7t = -6 Divide each side by '-7'. t = 0.8571428571 Simplifying t = 0.8571428571
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